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Finding the Fourth Proportional to 396,410.98, 547,074.12 and 224,329.06

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Solution

The fourth proportional to 396,410.98, 547,074.12 and 224,329.06 is: 309,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,410.98 : 547,074.12 = 224,329.06 : x
  2. Step 2: Convert to fraction form
    396,410.98/547,074.12 = 224,329.06/x
  3. Step 3: Cross multiply
    396,410.98x = 547,074.12 × 224,329.06
  4. Step 4: Simplify right side
    396,410.98x = 122,724,623,089.93
  5. Step 5: Solve for x
    x = 122,724,623,089.93/396,410.98
  6. Step 6: Final answer
    x = 309,589.36

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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.