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Finding the Fourth Proportional to 311,489.02, 467,233.53 and 178,276.42

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Solution

The fourth proportional to 311,489.02, 467,233.53 and 178,276.42 is: 267,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,489.02 : 467,233.53 = 178,276.42 : x
  2. Step 2: Convert to fraction form
    311,489.02/467,233.53 = 178,276.42/x
  3. Step 3: Cross multiply
    311,489.02x = 467,233.53 × 178,276.42
  4. Step 4: Simplify right side
    311,489.02x = 83,296,721,032.36
  5. Step 5: Solve for x
    x = 83,296,721,032.36/311,489.02
  6. Step 6: Final answer
    x = 267,414.63

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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.