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Finding the Fourth Proportional to 462,127.20, 693,190.80 and 213,295.20

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Solution

The fourth proportional to 462,127.20, 693,190.80 and 213,295.20 is: 319,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,127.20 : 693,190.80 = 213,295.20 : x
  2. Step 2: Convert to fraction form
    462,127.20/693,190.80 = 213,295.20/x
  3. Step 3: Cross multiply
    462,127.20x = 693,190.80 × 213,295.20
  4. Step 4: Simplify right side
    462,127.20x = 147,854,270,324.16
  5. Step 5: Solve for x
    x = 147,854,270,324.16/462,127.20
  6. Step 6: Final answer
    x = 319,942.80

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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.