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Finding the Fourth Proportional to 415,811.29, 573,688.60 and 254,498.17

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Solution

The fourth proportional to 415,811.29, 573,688.60 and 254,498.17 is: 351,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811.29 : 573,688.60 = 254,498.17 : x
  2. Step 2: Convert to fraction form
    415,811.29/573,688.60 = 254,498.17/x
  3. Step 3: Cross multiply
    415,811.29x = 573,688.60 × 254,498.17
  4. Step 4: Simplify right side
    415,811.29x = 146,002,699,965.96
  5. Step 5: Solve for x
    x = 146,002,699,965.96/415,811.29
  6. Step 6: Final answer
    x = 351,127.31

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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.