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Finding the Fourth Proportional to 296,217.74, 408,778.80 and 160,251.32

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Solution

The fourth proportional to 296,217.74, 408,778.80 and 160,251.32 is: 221,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,217.74 : 408,778.80 = 160,251.32 : x
  2. Step 2: Convert to fraction form
    296,217.74/408,778.80 = 160,251.32/x
  3. Step 3: Cross multiply
    296,217.74x = 408,778.80 × 160,251.32
  4. Step 4: Simplify right side
    296,217.74x = 65,507,342,288.02
  5. Step 5: Solve for x
    x = 65,507,342,288.02/296,217.74
  6. Step 6: Final answer
    x = 221,145.91

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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.