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Finding the Fourth Proportional to 287,439.22, 396,678.39 and 160,114.90

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Solution

The fourth proportional to 287,439.22, 396,678.39 and 160,114.90 is: 220,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,439.22 : 396,678.39 = 160,114.90 : x
  2. Step 2: Convert to fraction form
    287,439.22/396,678.39 = 160,114.90/x
  3. Step 3: Cross multiply
    287,439.22x = 396,678.39 × 160,114.90
  4. Step 4: Simplify right side
    287,439.22x = 63,514,120,747.01
  5. Step 5: Solve for x
    x = 63,514,120,747.01/287,439.22
  6. Step 6: Final answer
    x = 220,965.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.