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Finding the Fourth Proportional to 365,194.40, 548,713.20 and 232,138.40

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Solution

The fourth proportional to 365,194.40, 548,713.20 and 232,138.40 is: 348,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,194.40 : 548,713.20 = 232,138.40 : x
  2. Step 2: Convert to fraction form
    365,194.40/548,713.20 = 232,138.40/x
  3. Step 3: Cross multiply
    365,194.40x = 548,713.20 × 232,138.40
  4. Step 4: Simplify right side
    365,194.40x = 127,377,404,306.88
  5. Step 5: Solve for x
    x = 127,377,404,306.88/365,194.40
  6. Step 6: Final answer
    x = 348,793.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.