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Finding the Fourth Proportional to 252,849.20, 379,711.20 and 164,494.40

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Solution

The fourth proportional to 252,849.20, 379,711.20 and 164,494.40 is: 247,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,849.20 : 379,711.20 = 164,494.40 : x
  2. Step 2: Convert to fraction form
    252,849.20/379,711.20 = 164,494.40/x
  3. Step 3: Cross multiply
    252,849.20x = 379,711.20 × 164,494.40
  4. Step 4: Simplify right side
    252,849.20x = 62,460,366,017.28
  5. Step 5: Solve for x
    x = 62,460,366,017.28/252,849.20
  6. Step 6: Final answer
    x = 247,026.16

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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.