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Finding the Fourth Proportional to 500,122.35, 690,125.13 and 296,136.68

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Solution

The fourth proportional to 500,122.35, 690,125.13 and 296,136.68 is: 408,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,122.35 : 690,125.13 = 296,136.68 : x
  2. Step 2: Convert to fraction form
    500,122.35/690,125.13 = 296,136.68/x
  3. Step 3: Cross multiply
    500,122.35x = 690,125.13 × 296,136.68
  4. Step 4: Simplify right side
    500,122.35x = 204,371,361,332.14
  5. Step 5: Solve for x
    x = 204,371,361,332.14/500,122.35
  6. Step 6: Final answer
    x = 408,642.73

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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.