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Finding the Fourth Proportional to 564,039.60, 778,414.24 and 322,357.92

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Solution

The fourth proportional to 564,039.60, 778,414.24 and 322,357.92 is: 444,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,039.60 : 778,414.24 = 322,357.92 : x
  2. Step 2: Convert to fraction form
    564,039.60/778,414.24 = 322,357.92/x
  3. Step 3: Cross multiply
    564,039.60x = 778,414.24 × 322,357.92
  4. Step 4: Simplify right side
    564,039.60x = 250,927,995,304.78
  5. Step 5: Solve for x
    x = 250,927,995,304.78/564,039.60
  6. Step 6: Final answer
    x = 444,876.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.