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Finding the Fourth Proportional to 361,805.20, 542,707.80 and 221,837.20

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Solution

The fourth proportional to 361,805.20, 542,707.80 and 221,837.20 is: 332,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,805.20 : 542,707.80 = 221,837.20 : x
  2. Step 2: Convert to fraction form
    361,805.20/542,707.80 = 221,837.20/x
  3. Step 3: Cross multiply
    361,805.20x = 542,707.80 × 221,837.20
  4. Step 4: Simplify right side
    361,805.20x = 120,392,778,770.16
  5. Step 5: Solve for x
    x = 120,392,778,770.16/361,805.20
  6. Step 6: Final answer
    x = 332,755.80

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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.