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Finding the Fourth Proportional to 396,206.92, 594,303.90 and 159,543.64

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Solution

The fourth proportional to 396,206.92, 594,303.90 and 159,543.64 is: 239,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,206.92 : 594,303.90 = 159,543.64 : x
  2. Step 2: Convert to fraction form
    396,206.92/594,303.90 = 159,543.64/x
  3. Step 3: Cross multiply
    396,206.92x = 594,303.90 × 159,543.64
  4. Step 4: Simplify right side
    396,206.92x = 94,817,407,472.20
  5. Step 5: Solve for x
    x = 94,817,407,472.20/396,206.92
  6. Step 6: Final answer
    x = 239,312.85

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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.