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Finding the Fourth Proportional to 331,817.76, 497,728.52 and 82,499.76

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Solution

The fourth proportional to 331,817.76, 497,728.52 and 82,499.76 is: 123,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,817.76 : 497,728.52 = 82,499.76 : x
  2. Step 2: Convert to fraction form
    331,817.76/497,728.52 = 82,499.76/x
  3. Step 3: Cross multiply
    331,817.76x = 497,728.52 × 82,499.76
  4. Step 4: Simplify right side
    331,817.76x = 41,062,483,445.16
  5. Step 5: Solve for x
    x = 41,062,483,445.16/331,817.76
  6. Step 6: Final answer
    x = 123,750.11

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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.