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Finding the Fourth Proportional to 537,494.88, 806,172.56 and 221,909.12

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Solution

The fourth proportional to 537,494.88, 806,172.56 and 221,909.12 is: 332,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,494.88 : 806,172.56 = 221,909.12 : x
  2. Step 2: Convert to fraction form
    537,494.88/806,172.56 = 221,909.12/x
  3. Step 3: Cross multiply
    537,494.88x = 806,172.56 × 221,909.12
  4. Step 4: Simplify right side
    537,494.88x = 178,897,043,357.75
  5. Step 5: Solve for x
    x = 178,897,043,357.75/537,494.88
  6. Step 6: Final answer
    x = 332,834.88

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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.