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Finding the Fourth Proportional to 311,019.44, 466,526.10 and 142,491.97

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Solution

The fourth proportional to 311,019.44, 466,526.10 and 142,491.97 is: 213,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,019.44 : 466,526.10 = 142,491.97 : x
  2. Step 2: Convert to fraction form
    311,019.44/466,526.10 = 142,491.97/x
  3. Step 3: Cross multiply
    311,019.44x = 466,526.10 × 142,491.97
  4. Step 4: Simplify right side
    311,019.44x = 66,476,220,712.79
  5. Step 5: Solve for x
    x = 66,476,220,712.79/311,019.44
  6. Step 6: Final answer
    x = 213,736.55

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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.