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Finding the Fourth Proportional to 296,057.77, 408,562.17 and 163,454.85

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Solution

The fourth proportional to 296,057.77, 408,562.17 and 163,454.85 is: 225,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.77 : 408,562.17 = 163,454.85 : x
  2. Step 2: Convert to fraction form
    296,057.77/408,562.17 = 163,454.85/x
  3. Step 3: Cross multiply
    296,057.77x = 408,562.17 × 163,454.85
  4. Step 4: Simplify right side
    296,057.77x = 66,781,468,213.02
  5. Step 5: Solve for x
    x = 66,781,468,213.02/296,057.77
  6. Step 6: Final answer
    x = 225,569.04

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1.5x scale

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.