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Finding the Fourth Proportional to 497,654.10, 746,481.15 and 272,927.70

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Solution

The fourth proportional to 497,654.10, 746,481.15 and 272,927.70 is: 409,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,654.10 : 746,481.15 = 272,927.70 : x
  2. Step 2: Convert to fraction form
    497,654.10/746,481.15 = 272,927.70/x
  3. Step 3: Cross multiply
    497,654.10x = 746,481.15 × 272,927.70
  4. Step 4: Simplify right side
    497,654.10x = 203,735,383,362.86
  5. Step 5: Solve for x
    x = 203,735,383,362.86/497,654.10
  6. Step 6: Final answer
    x = 409,391.55

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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.