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Finding the Fourth Proportional to 311,061.42, 466,600.64 and 86,422.50

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Solution

The fourth proportional to 311,061.42, 466,600.64 and 86,422.50 is: 129,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,061.42 : 466,600.64 = 86,422.50 : x
  2. Step 2: Convert to fraction form
    311,061.42/466,600.64 = 86,422.50/x
  3. Step 3: Cross multiply
    311,061.42x = 466,600.64 × 86,422.50
  4. Step 4: Simplify right side
    311,061.42x = 40,324,793,378.29
  5. Step 5: Solve for x
    x = 40,324,793,378.29/311,061.42
  6. Step 6: Final answer
    x = 129,636.11

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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.