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Finding the Fourth Proportional to 347,780.88, 521,318.34 and 197,711.01

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Solution

The fourth proportional to 347,780.88, 521,318.34 and 197,711.01 is: 296,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,780.88 : 521,318.34 = 197,711.01 : x
  2. Step 2: Convert to fraction form
    347,780.88/521,318.34 = 197,711.01/x
  3. Step 3: Cross multiply
    347,780.88x = 521,318.34 × 197,711.01
  4. Step 4: Simplify right side
    347,780.88x = 103,070,375,532.92
  5. Step 5: Solve for x
    x = 103,070,375,532.92/347,780.88
  6. Step 6: Final answer
    x = 296,365.85

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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.