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Finding the Fourth Proportional to 399,572.80, 599,294.50 and 146,791.14

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Solution

The fourth proportional to 399,572.80, 599,294.50 and 146,791.14 is: 220,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,572.80 : 599,294.50 = 146,791.14 : x
  2. Step 2: Convert to fraction form
    399,572.80/599,294.50 = 146,791.14/x
  3. Step 3: Cross multiply
    399,572.80x = 599,294.50 × 146,791.14
  4. Step 4: Simplify right side
    399,572.80x = 87,971,120,236.40
  5. Step 5: Solve for x
    x = 87,971,120,236.40/399,572.80
  6. Step 6: Final answer
    x = 220,162.94

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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.