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Finding the Fourth Proportional to 396,191.68, 546,746.16 and 226,431.52

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Solution

The fourth proportional to 396,191.68, 546,746.16 and 226,431.52 is: 312,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,191.68 : 546,746.16 = 226,431.52 : x
  2. Step 2: Convert to fraction form
    396,191.68/546,746.16 = 226,431.52/x
  3. Step 3: Cross multiply
    396,191.68x = 546,746.16 × 226,431.52
  4. Step 4: Simplify right side
    396,191.68x = 123,800,564,062.96
  5. Step 5: Solve for x
    x = 123,800,564,062.96/396,191.68
  6. Step 6: Final answer
    x = 312,476.44

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1.5x scale

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.