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Finding the Fourth Proportional to 498,909.24, 688,484.07 and 284,046.21

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Solution

The fourth proportional to 498,909.24, 688,484.07 and 284,046.21 is: 391,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,909.24 : 688,484.07 = 284,046.21 : x
  2. Step 2: Convert to fraction form
    498,909.24/688,484.07 = 284,046.21/x
  3. Step 3: Cross multiply
    498,909.24x = 688,484.07 × 284,046.21
  4. Step 4: Simplify right side
    498,909.24x = 195,561,290,728.88
  5. Step 5: Solve for x
    x = 195,561,290,728.88/498,909.24
  6. Step 6: Final answer
    x = 391,977.69

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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.