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Finding the Fourth Proportional to 324,616.20, 447,967.80 and 181,374.72

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Solution

The fourth proportional to 324,616.20, 447,967.80 and 181,374.72 is: 250,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,616.20 : 447,967.80 = 181,374.72 : x
  2. Step 2: Convert to fraction form
    324,616.20/447,967.80 = 181,374.72/x
  3. Step 3: Cross multiply
    324,616.20x = 447,967.80 × 181,374.72
  4. Step 4: Simplify right side
    324,616.20x = 81,250,034,294.02
  5. Step 5: Solve for x
    x = 81,250,034,294.02/324,616.20
  6. Step 6: Final answer
    x = 250,295.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.