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Finding the Fourth Proportional to 463,108.86, 694,650.33 and 147,584.70

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Solution

The fourth proportional to 463,108.86, 694,650.33 and 147,584.70 is: 221,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,108.86 : 694,650.33 = 147,584.70 : x
  2. Step 2: Convert to fraction form
    463,108.86/694,650.33 = 147,584.70/x
  3. Step 3: Cross multiply
    463,108.86x = 694,650.33 × 147,584.70
  4. Step 4: Simplify right side
    463,108.86x = 102,519,760,557.95
  5. Step 5: Solve for x
    x = 102,519,760,557.95/463,108.86
  6. Step 6: Final answer
    x = 221,372.92

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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.