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Finding the Fourth Proportional to 443,432.10, 665,148.15 and 177,233.70

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Solution

The fourth proportional to 443,432.10, 665,148.15 and 177,233.70 is: 265,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,432.10 : 665,148.15 = 177,233.70 : x
  2. Step 2: Convert to fraction form
    443,432.10/665,148.15 = 177,233.70/x
  3. Step 3: Cross multiply
    443,432.10x = 665,148.15 × 177,233.70
  4. Step 4: Simplify right side
    443,432.10x = 117,886,667,672.66
  5. Step 5: Solve for x
    x = 117,886,667,672.66/443,432.10
  6. Step 6: Final answer
    x = 265,850.55

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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.