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Finding the Fourth Proportional to 331,341.70, 497,012.55 and 82,023.70

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Solution

The fourth proportional to 331,341.70, 497,012.55 and 82,023.70 is: 123,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,341.70 : 497,012.55 = 82,023.70 : x
  2. Step 2: Convert to fraction form
    331,341.70/497,012.55 = 82,023.70/x
  3. Step 3: Cross multiply
    331,341.70x = 497,012.55 × 82,023.70
  4. Step 4: Simplify right side
    331,341.70x = 40,766,808,297.44
  5. Step 5: Solve for x
    x = 40,766,808,297.44/331,341.70
  6. Step 6: Final answer
    x = 123,035.55

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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.