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Finding the Fourth Proportional to 461,138.46, 691,921.56 and 194,961.12

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Solution

The fourth proportional to 461,138.46, 691,921.56 and 194,961.12 is: 292,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,138.46 : 691,921.56 = 194,961.12 : x
  2. Step 2: Convert to fraction form
    461,138.46/691,921.56 = 194,961.12/x
  3. Step 3: Cross multiply
    461,138.46x = 691,921.56 × 194,961.12
  4. Step 4: Simplify right side
    461,138.46x = 134,897,802,289.75
  5. Step 5: Solve for x
    x = 134,897,802,289.75/461,138.46
  6. Step 6: Final answer
    x = 292,532.10

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1.5x scale

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.