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Finding the Fourth Proportional to 500,154.65, 688,759.29 and 434,714.75

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Solution

The fourth proportional to 500,154.65, 688,759.29 and 434,714.75 is: 598,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,154.65 : 688,759.29 = 434,714.75 : x
  2. Step 2: Convert to fraction form
    500,154.65/688,759.29 = 434,714.75/x
  3. Step 3: Cross multiply
    500,154.65x = 688,759.29 × 434,714.75
  4. Step 4: Simplify right side
    500,154.65x = 299,413,822,562.53
  5. Step 5: Solve for x
    x = 299,413,822,562.53/500,154.65
  6. Step 6: Final answer
    x = 598,642.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.