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Finding the Fourth Proportional to 507,415.14, 700,233.20 and 277,980.77

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Solution

The fourth proportional to 507,415.14, 700,233.20 and 277,980.77 is: 383,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,415.14 : 700,233.20 = 277,980.77 : x
  2. Step 2: Convert to fraction form
    507,415.14/700,233.20 = 277,980.77/x
  3. Step 3: Cross multiply
    507,415.14x = 700,233.20 × 277,980.77
  4. Step 4: Simplify right side
    507,415.14x = 194,651,359,224.49
  5. Step 5: Solve for x
    x = 194,651,359,224.49/507,415.14
  6. Step 6: Final answer
    x = 383,613.62

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.