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Finding the Fourth Proportional to 296,565.68, 409,260.92 and 160,599.77

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Solution

The fourth proportional to 296,565.68, 409,260.92 and 160,599.77 is: 221,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,565.68 : 409,260.92 = 160,599.77 : x
  2. Step 2: Convert to fraction form
    296,565.68/409,260.92 = 160,599.77/x
  3. Step 3: Cross multiply
    296,565.68x = 409,260.92 × 160,599.77
  4. Step 4: Simplify right side
    296,565.68x = 65,727,206,772.69
  5. Step 5: Solve for x
    x = 65,727,206,772.69/296,565.68
  6. Step 6: Final answer
    x = 221,627.83

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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.