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Finding the Fourth Proportional to 423,930.20, 584,438.96 and 338,180

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Solution

The fourth proportional to 423,930.20, 584,438.96 and 338,180 is: 466,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,930.20 : 584,438.96 = 338,180 : x
  2. Step 2: Convert to fraction form
    423,930.20/584,438.96 = 338,180/x
  3. Step 3: Cross multiply
    423,930.20x = 584,438.96 × 338,180
  4. Step 4: Simplify right side
    423,930.20x = 197,645,567,492.80
  5. Step 5: Solve for x
    x = 197,645,567,492.80/423,930.20
  6. Step 6: Final answer
    x = 466,221.96

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