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Finding the Fourth Proportional to 840,864.72, 1,160,396.56 and 458,900

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Solution

The fourth proportional to 840,864.72, 1,160,396.56 and 458,900 is: 633,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,864.72 : 1,160,396.56 = 458,900 : x
  2. Step 2: Convert to fraction form
    840,864.72/1,160,396.56 = 458,900/x
  3. Step 3: Cross multiply
    840,864.72x = 1,160,396.56 × 458,900
  4. Step 4: Simplify right side
    840,864.72x = 532,505,981,384
  5. Step 5: Solve for x
    x = 532,505,981,384/840,864.72
  6. Step 6: Final answer
    x = 633,283.77

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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.