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Finding the Fourth Proportional to 500,151.65, 688,755.15 and 434,711.75

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Solution

The fourth proportional to 500,151.65, 688,755.15 and 434,711.75 is: 598,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,151.65 : 688,755.15 = 434,711.75 : x
  2. Step 2: Convert to fraction form
    500,151.65/688,755.15 = 434,711.75/x
  3. Step 3: Cross multiply
    500,151.65x = 688,755.15 × 434,711.75
  4. Step 4: Simplify right side
    500,151.65x = 299,409,953,134.24
  5. Step 5: Solve for x
    x = 299,409,953,134.24/500,151.65
  6. Step 6: Final answer
    x = 598,638.35

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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.