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Finding the Fourth Proportional to 497,403.68, 686,414.92 and 271,049.20

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Solution

The fourth proportional to 497,403.68, 686,414.92 and 271,049.20 is: 374,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,403.68 : 686,414.92 = 271,049.20 : x
  2. Step 2: Convert to fraction form
    497,403.68/686,414.92 = 271,049.20/x
  3. Step 3: Cross multiply
    497,403.68x = 686,414.92 × 271,049.20
  4. Step 4: Simplify right side
    497,403.68x = 186,052,214,934.06
  5. Step 5: Solve for x
    x = 186,052,214,934.06/497,403.68
  6. Step 6: Final answer
    x = 374,046.72

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1.5x scale

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.