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Finding the Fourth Proportional to 409,685.92, 614,602.86 and 125,371.38

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Solution

The fourth proportional to 409,685.92, 614,602.86 and 125,371.38 is: 188,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,685.92 : 614,602.86 = 125,371.38 : x
  2. Step 2: Convert to fraction form
    409,685.92/614,602.86 = 125,371.38/x
  3. Step 3: Cross multiply
    409,685.92x = 614,602.86 × 125,371.38
  4. Step 4: Simplify right side
    409,685.92x = 77,053,608,710.15
  5. Step 5: Solve for x
    x = 77,053,608,710.15/409,685.92
  6. Step 6: Final answer
    x = 188,079.71

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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.