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Finding the Fourth Proportional to 778,856.31, 1,074,654.89 and 585,470.84

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Solution

The fourth proportional to 778,856.31, 1,074,654.89 and 585,470.84 is: 807,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,856.31 : 1,074,654.89 = 585,470.84 : x
  2. Step 2: Convert to fraction form
    778,856.31/1,074,654.89 = 585,470.84/x
  3. Step 3: Cross multiply
    778,856.31x = 1,074,654.89 × 585,470.84
  4. Step 4: Simplify right side
    778,856.31x = 629,179,098,346.57
  5. Step 5: Solve for x
    x = 629,179,098,346.57/778,856.31
  6. Step 6: Final answer
    x = 807,824.36

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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.