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Finding the Fourth Proportional to 296,616.46, 444,920.97 and 71,978.75

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Solution

The fourth proportional to 296,616.46, 444,920.97 and 71,978.75 is: 107,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,616.46 : 444,920.97 = 71,978.75 : x
  2. Step 2: Convert to fraction form
    296,616.46/444,920.97 = 71,978.75/x
  3. Step 3: Cross multiply
    296,616.46x = 444,920.97 × 71,978.75
  4. Step 4: Simplify right side
    296,616.46x = 32,024,855,269.39
  5. Step 5: Solve for x
    x = 32,024,855,269.39/296,616.46
  6. Step 6: Final answer
    x = 107,967.22

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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.