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Finding the Fourth Proportional to 409,865.38, 614,375.78 and 157,087.06

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Solution

The fourth proportional to 409,865.38, 614,375.78 and 157,087.06 is: 235,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,865.38 : 614,375.78 = 157,087.06 : x
  2. Step 2: Convert to fraction form
    409,865.38/614,375.78 = 157,087.06/x
  3. Step 3: Cross multiply
    409,865.38x = 614,375.78 × 157,087.06
  4. Step 4: Simplify right side
    409,865.38x = 96,510,485,015.41
  5. Step 5: Solve for x
    x = 96,510,485,015.41/409,865.38
  6. Step 6: Final answer
    x = 235,468.74

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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.