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Finding the Fourth Proportional to 396,494.12, 595,331.68 and 160,298.12

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Solution

The fourth proportional to 396,494.12, 595,331.68 and 160,298.12 is: 240,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,494.12 : 595,331.68 = 160,298.12 : x
  2. Step 2: Convert to fraction form
    396,494.12/595,331.68 = 160,298.12/x
  3. Step 3: Cross multiply
    396,494.12x = 595,331.68 × 160,298.12
  4. Step 4: Simplify right side
    396,494.12x = 95,430,549,080.44
  5. Step 5: Solve for x
    x = 95,430,549,080.44/396,494.12
  6. Step 6: Final answer
    x = 240,685.91

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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.