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Finding the Fourth Proportional to 360,829.60, 497,932.56 and 199,691.44

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Solution

The fourth proportional to 360,829.60, 497,932.56 and 199,691.44 is: 275,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,829.60 : 497,932.56 = 199,691.44 : x
  2. Step 2: Convert to fraction form
    360,829.60/497,932.56 = 199,691.44/x
  3. Step 3: Cross multiply
    360,829.60x = 497,932.56 × 199,691.44
  4. Step 4: Simplify right side
    360,829.60x = 99,432,869,929.29
  5. Step 5: Solve for x
    x = 99,432,869,929.29/360,829.60
  6. Step 6: Final answer
    x = 275,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.