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Finding the Fourth Proportional to 509,078.41, 763,605.76 and 256,290.97

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Solution

The fourth proportional to 509,078.41, 763,605.76 and 256,290.97 is: 384,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,078.41 : 763,605.76 = 256,290.97 : x
  2. Step 2: Convert to fraction form
    509,078.41/763,605.76 = 256,290.97/x
  3. Step 3: Cross multiply
    509,078.41x = 763,605.76 × 256,290.97
  4. Step 4: Simplify right side
    509,078.41x = 195,705,260,927.99
  5. Step 5: Solve for x
    x = 195,705,260,927.99/509,078.41
  6. Step 6: Final answer
    x = 384,430.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.