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Finding the Fourth Proportional to 331,819.40, 497,729.10 and 82,501.40

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Solution

The fourth proportional to 331,819.40, 497,729.10 and 82,501.40 is: 123,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,819.40 : 497,729.10 = 82,501.40 : x
  2. Step 2: Convert to fraction form
    331,819.40/497,729.10 = 82,501.40/x
  3. Step 3: Cross multiply
    331,819.40x = 497,729.10 × 82,501.40
  4. Step 4: Simplify right side
    331,819.40x = 41,063,347,570.74
  5. Step 5: Solve for x
    x = 41,063,347,570.74/331,819.40
  6. Step 6: Final answer
    x = 123,752.10

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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.