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Finding the Fourth Proportional to 311,029.20, 466,456.32 and 86,335.20

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Solution

The fourth proportional to 311,029.20, 466,456.32 and 86,335.20 is: 129,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,029.20 : 466,456.32 = 86,335.20 : x
  2. Step 2: Convert to fraction form
    311,029.20/466,456.32 = 86,335.20/x
  3. Step 3: Cross multiply
    311,029.20x = 466,456.32 × 86,335.20
  4. Step 4: Simplify right side
    311,029.20x = 40,271,599,678.46
  5. Step 5: Solve for x
    x = 40,271,599,678.46/311,029.20
  6. Step 6: Final answer
    x = 129,478.52

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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.