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Finding the Fourth Proportional to 294,306.38, 441,525.38 and 107,317.88

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Solution

The fourth proportional to 294,306.38, 441,525.38 and 107,317.88 is: 161,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,306.38 : 441,525.38 = 107,317.88 : x
  2. Step 2: Convert to fraction form
    294,306.38/441,525.38 = 107,317.88/x
  3. Step 3: Cross multiply
    294,306.38x = 441,525.38 × 107,317.88
  4. Step 4: Simplify right side
    294,306.38x = 47,383,567,747.79
  5. Step 5: Solve for x
    x = 47,383,567,747.79/294,306.38
  6. Step 6: Final answer
    x = 161,000.82

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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.