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Finding the Fourth Proportional to 325,948.60, 488,266.80 and 226,221.40

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Solution

The fourth proportional to 325,948.60, 488,266.80 and 226,221.40 is: 338,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,948.60 : 488,266.80 = 226,221.40 : x
  2. Step 2: Convert to fraction form
    325,948.60/488,266.80 = 226,221.40/x
  3. Step 3: Cross multiply
    325,948.60x = 488,266.80 × 226,221.40
  4. Step 4: Simplify right side
    325,948.60x = 110,456,399,069.52
  5. Step 5: Solve for x
    x = 110,456,399,069.52/325,948.60
  6. Step 6: Final answer
    x = 338,876.74

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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.