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Finding the Fourth Proportional to 546,375.20, 819,095.36 and 209,657.48

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Solution

The fourth proportional to 546,375.20, 819,095.36 and 209,657.48 is: 314,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,375.20 : 819,095.36 = 209,657.48 : x
  2. Step 2: Convert to fraction form
    546,375.20/819,095.36 = 209,657.48/x
  3. Step 3: Cross multiply
    546,375.20x = 819,095.36 × 209,657.48
  4. Step 4: Simplify right side
    546,375.20x = 171,729,469,057.29
  5. Step 5: Solve for x
    x = 171,729,469,057.29/546,375.20
  6. Step 6: Final answer
    x = 314,306.85

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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.