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Finding the Fourth Proportional to 530,104.13, 731,543.72 and 291,640.13

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Solution

The fourth proportional to 530,104.13, 731,543.72 and 291,640.13 is: 402,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,104.13 : 731,543.72 = 291,640.13 : x
  2. Step 2: Convert to fraction form
    530,104.13/731,543.72 = 291,640.13/x
  3. Step 3: Cross multiply
    530,104.13x = 731,543.72 × 291,640.13
  4. Step 4: Simplify right side
    530,104.13x = 213,347,500,485.56
  5. Step 5: Solve for x
    x = 213,347,500,485.56/530,104.13
  6. Step 6: Final answer
    x = 402,463.38

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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.