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Finding the Fourth Proportional to 331,818.40, 497,727 and 82,500.40

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Solution

The fourth proportional to 331,818.40, 497,727 and 82,500.40 is: 123,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,818.40 : 497,727 = 82,500.40 : x
  2. Step 2: Convert to fraction form
    331,818.40/497,727 = 82,500.40/x
  3. Step 3: Cross multiply
    331,818.40x = 497,727 × 82,500.40
  4. Step 4: Simplify right side
    331,818.40x = 41,062,676,590.80
  5. Step 5: Solve for x
    x = 41,062,676,590.80/331,818.40
  6. Step 6: Final answer
    x = 123,750.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.