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Finding the Fourth Proportional to 329,487.60, 493,575.30 and 189,082.20

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Solution

The fourth proportional to 329,487.60, 493,575.30 and 189,082.20 is: 283,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,487.60 : 493,575.30 = 189,082.20 : x
  2. Step 2: Convert to fraction form
    329,487.60/493,575.30 = 189,082.20/x
  3. Step 3: Cross multiply
    329,487.60x = 493,575.30 × 189,082.20
  4. Step 4: Simplify right side
    329,487.60x = 93,326,303,589.66
  5. Step 5: Solve for x
    x = 93,326,303,589.66/329,487.60
  6. Step 6: Final answer
    x = 283,246.79

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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.