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Finding the Fourth Proportional to 252,817.20, 379,663.20 and 164,462.40

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Solution

The fourth proportional to 252,817.20, 379,663.20 and 164,462.40 is: 246,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,817.20 : 379,663.20 = 164,462.40 : x
  2. Step 2: Convert to fraction form
    252,817.20/379,663.20 = 164,462.40/x
  3. Step 3: Cross multiply
    252,817.20x = 379,663.20 × 164,462.40
  4. Step 4: Simplify right side
    252,817.20x = 62,440,321,063.68
  5. Step 5: Solve for x
    x = 62,440,321,063.68/252,817.20
  6. Step 6: Final answer
    x = 246,978.14

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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.