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Finding the Fourth Proportional to 297,454.47, 410,487.66 and 161,488.41

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Solution

The fourth proportional to 297,454.47, 410,487.66 and 161,488.41 is: 222,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,454.47 : 410,487.66 = 161,488.41 : x
  2. Step 2: Convert to fraction form
    297,454.47/410,487.66 = 161,488.41/x
  3. Step 3: Cross multiply
    297,454.47x = 410,487.66 × 161,488.41
  4. Step 4: Simplify right side
    297,454.47x = 66,288,999,538.02
  5. Step 5: Solve for x
    x = 66,288,999,538.02/297,454.47
  6. Step 6: Final answer
    x = 222,854.27

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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.