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Finding the Fourth Proportional to 331,546.80, 497,320.20 and 294,805.20

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Solution

The fourth proportional to 331,546.80, 497,320.20 and 294,805.20 is: 442,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,546.80 : 497,320.20 = 294,805.20 : x
  2. Step 2: Convert to fraction form
    331,546.80/497,320.20 = 294,805.20/x
  3. Step 3: Cross multiply
    331,546.80x = 497,320.20 × 294,805.20
  4. Step 4: Simplify right side
    331,546.80x = 146,612,581,025.04
  5. Step 5: Solve for x
    x = 146,612,581,025.04/331,546.80
  6. Step 6: Final answer
    x = 442,207.80

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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.