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Finding the Fourth Proportional to 442,702.80, 664,054.20 and 110,278.80

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Solution

The fourth proportional to 442,702.80, 664,054.20 and 110,278.80 is: 165,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,702.80 : 664,054.20 = 110,278.80 : x
  2. Step 2: Convert to fraction form
    442,702.80/664,054.20 = 110,278.80/x
  3. Step 3: Cross multiply
    442,702.80x = 664,054.20 × 110,278.80
  4. Step 4: Simplify right side
    442,702.80x = 73,231,100,310.96
  5. Step 5: Solve for x
    x = 73,231,100,310.96/442,702.80
  6. Step 6: Final answer
    x = 165,418.20

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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.