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Finding the Fourth Proportional to 311,119.64, 466,523.16 and 181,330.22

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Solution

The fourth proportional to 311,119.64, 466,523.16 and 181,330.22 is: 271,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,119.64 : 466,523.16 = 181,330.22 : x
  2. Step 2: Convert to fraction form
    311,119.64/466,523.16 = 181,330.22/x
  3. Step 3: Cross multiply
    311,119.64x = 466,523.16 × 181,330.22
  4. Step 4: Simplify right side
    311,119.64x = 84,594,747,724.21
  5. Step 5: Solve for x
    x = 84,594,747,724.21/311,119.64
  6. Step 6: Final answer
    x = 271,904.24

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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.