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Finding the Fourth Proportional to 257,498.71, 386,174.25 and 77,601.56

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Solution

The fourth proportional to 257,498.71, 386,174.25 and 77,601.56 is: 116,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,498.71 : 386,174.25 = 77,601.56 : x
  2. Step 2: Convert to fraction form
    257,498.71/386,174.25 = 77,601.56/x
  3. Step 3: Cross multiply
    257,498.71x = 386,174.25 × 77,601.56
  4. Step 4: Simplify right side
    257,498.71x = 29,967,722,300.96
  5. Step 5: Solve for x
    x = 29,967,722,300.96/257,498.71
  6. Step 6: Final answer
    x = 116,380.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.