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Finding the Fourth Proportional to 441,638.80, 662,494.20 and 188,921.20

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Solution

The fourth proportional to 441,638.80, 662,494.20 and 188,921.20 is: 283,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,638.80 : 662,494.20 = 188,921.20 : x
  2. Step 2: Convert to fraction form
    441,638.80/662,494.20 = 188,921.20/x
  3. Step 3: Cross multiply
    441,638.80x = 662,494.20 × 188,921.20
  4. Step 4: Simplify right side
    441,638.80x = 125,159,199,257.04
  5. Step 5: Solve for x
    x = 125,159,199,257.04/441,638.80
  6. Step 6: Final answer
    x = 283,397.20

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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.