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Finding the Fourth Proportional to 408,943.92, 564,229.08 and 263,688.24

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Solution

The fourth proportional to 408,943.92, 564,229.08 and 263,688.24 is: 363,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943.92 : 564,229.08 = 263,688.24 : x
  2. Step 2: Convert to fraction form
    408,943.92/564,229.08 = 263,688.24/x
  3. Step 3: Cross multiply
    408,943.92x = 564,229.08 × 263,688.24
  4. Step 4: Simplify right side
    408,943.92x = 148,780,573,062.02
  5. Step 5: Solve for x
    x = 148,780,573,062.02/408,943.92
  6. Step 6: Final answer
    x = 363,816.57

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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.