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Finding the Fourth Proportional to 331,471.90, 497,380.65 and 144,502.30

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Solution

The fourth proportional to 331,471.90, 497,380.65 and 144,502.30 is: 216,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,471.90 : 497,380.65 = 144,502.30 : x
  2. Step 2: Convert to fraction form
    331,471.90/497,380.65 = 144,502.30/x
  3. Step 3: Cross multiply
    331,471.90x = 497,380.65 × 144,502.30
  4. Step 4: Simplify right side
    331,471.90x = 71,872,647,900.50
  5. Step 5: Solve for x
    x = 71,872,647,900.50/331,471.90
  6. Step 6: Final answer
    x = 216,828.78

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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.