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Finding the Fourth Proportional to 331,347.10, 497,020.65 and 231,619.90

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Solution

The fourth proportional to 331,347.10, 497,020.65 and 231,619.90 is: 347,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,347.10 : 497,020.65 = 231,619.90 : x
  2. Step 2: Convert to fraction form
    331,347.10/497,020.65 = 231,619.90/x
  3. Step 3: Cross multiply
    331,347.10x = 497,020.65 × 231,619.90
  4. Step 4: Simplify right side
    331,347.10x = 115,119,873,250.94
  5. Step 5: Solve for x
    x = 115,119,873,250.94/331,347.10
  6. Step 6: Final answer
    x = 347,429.85

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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.