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Finding the Fourth Proportional to 442,843.40, 664,265.10 and 127,281.80

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Solution

The fourth proportional to 442,843.40, 664,265.10 and 127,281.80 is: 190,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,843.40 : 664,265.10 = 127,281.80 : x
  2. Step 2: Convert to fraction form
    442,843.40/664,265.10 = 127,281.80/x
  3. Step 3: Cross multiply
    442,843.40x = 664,265.10 × 127,281.80
  4. Step 4: Simplify right side
    442,843.40x = 84,548,857,605.18
  5. Step 5: Solve for x
    x = 84,548,857,605.18/442,843.40
  6. Step 6: Final answer
    x = 190,922.70

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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.