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Finding the Fourth Proportional to 524,389.32, 724,369.61 and 411,098.28

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Solution

The fourth proportional to 524,389.32, 724,369.61 and 411,098.28 is: 567,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,389.32 : 724,369.61 = 411,098.28 : x
  2. Step 2: Convert to fraction form
    524,389.32/724,369.61 = 411,098.28/x
  3. Step 3: Cross multiply
    524,389.32x = 724,369.61 × 411,098.28
  4. Step 4: Simplify right side
    524,389.32x = 297,787,100,755.27
  5. Step 5: Solve for x
    x = 297,787,100,755.27/524,389.32
  6. Step 6: Final answer
    x = 567,874.08

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Double scale
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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.