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Finding the Fourth Proportional to 648,953.40, 973,430.10 and 470,623.80

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Solution

The fourth proportional to 648,953.40, 973,430.10 and 470,623.80 is: 705,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,953.40 : 973,430.10 = 470,623.80 : x
  2. Step 2: Convert to fraction form
    648,953.40/973,430.10 = 470,623.80/x
  3. Step 3: Cross multiply
    648,953.40x = 973,430.10 × 470,623.80
  4. Step 4: Simplify right side
    648,953.40x = 458,119,372,696.38
  5. Step 5: Solve for x
    x = 458,119,372,696.38/648,953.40
  6. Step 6: Final answer
    x = 705,935.70

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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.