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Finding the Fourth Proportional to 543,200.30, 815,092.05 and 227,689.10

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Solution

The fourth proportional to 543,200.30, 815,092.05 and 227,689.10 is: 341,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,200.30 : 815,092.05 = 227,689.10 : x
  2. Step 2: Convert to fraction form
    543,200.30/815,092.05 = 227,689.10/x
  3. Step 3: Cross multiply
    543,200.30x = 815,092.05 × 227,689.10
  4. Step 4: Simplify right side
    543,200.30x = 185,587,575,281.66
  5. Step 5: Solve for x
    x = 185,587,575,281.66/543,200.30
  6. Step 6: Final answer
    x = 341,655.88

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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.