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Finding the Fourth Proportional to 396,404.34, 547,038.36 and 226,642.02

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Solution

The fourth proportional to 396,404.34, 547,038.36 and 226,642.02 is: 312,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,404.34 : 547,038.36 = 226,642.02 : x
  2. Step 2: Convert to fraction form
    396,404.34/547,038.36 = 226,642.02/x
  3. Step 3: Cross multiply
    396,404.34x = 547,038.36 × 226,642.02
  4. Step 4: Simplify right side
    396,404.34x = 123,981,878,927.89
  5. Step 5: Solve for x
    x = 123,981,878,927.89/396,404.34
  6. Step 6: Final answer
    x = 312,766.20

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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.