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Finding the Fourth Proportional to 287,062.76, 396,141.36 and 159,737.24

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Solution

The fourth proportional to 287,062.76, 396,141.36 and 159,737.24 is: 220,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,062.76 : 396,141.36 = 159,737.24 : x
  2. Step 2: Convert to fraction form
    287,062.76/396,141.36 = 159,737.24/x
  3. Step 3: Cross multiply
    287,062.76x = 396,141.36 × 159,737.24
  4. Step 4: Simplify right side
    287,062.76x = 63,278,527,496.25
  5. Step 5: Solve for x
    x = 63,278,527,496.25/287,062.76
  6. Step 6: Final answer
    x = 220,434.47

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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.