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Finding the Fourth Proportional to 311,071.44, 466,615.64 and 86,432.52

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Solution

The fourth proportional to 311,071.44, 466,615.64 and 86,432.52 is: 129,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,071.44 : 466,615.64 = 86,432.52 : x
  2. Step 2: Convert to fraction form
    311,071.44/466,615.64 = 86,432.52/x
  3. Step 3: Cross multiply
    311,071.44x = 466,615.64 × 86,432.52
  4. Step 4: Simplify right side
    311,071.44x = 40,330,765,636.61
  5. Step 5: Solve for x
    x = 40,330,765,636.61/311,071.44
  6. Step 6: Final answer
    x = 129,651.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.