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Finding the Fourth Proportional to 381,544.56, 572,627.88 and 194,609.52

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Solution

The fourth proportional to 381,544.56, 572,627.88 and 194,609.52 is: 292,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,544.56 : 572,627.88 = 194,609.52 : x
  2. Step 2: Convert to fraction form
    381,544.56/572,627.88 = 194,609.52/x
  3. Step 3: Cross multiply
    381,544.56x = 572,627.88 × 194,609.52
  4. Step 4: Simplify right side
    381,544.56x = 111,438,836,865.42
  5. Step 5: Solve for x
    x = 111,438,836,865.42/381,544.56
  6. Step 6: Final answer
    x = 292,072.93

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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.