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Finding the Fourth Proportional to 208,294.38, 312,438.47 and 50,524.20

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Solution

The fourth proportional to 208,294.38, 312,438.47 and 50,524.20 is: 75,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.38 : 312,438.47 = 50,524.20 : x
  2. Step 2: Convert to fraction form
    208,294.38/312,438.47 = 50,524.20/x
  3. Step 3: Cross multiply
    208,294.38x = 312,438.47 × 50,524.20
  4. Step 4: Simplify right side
    208,294.38x = 15,785,703,493.35
  5. Step 5: Solve for x
    x = 15,785,703,493.35/208,294.38
  6. Step 6: Final answer
    x = 75,785.55

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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.