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Finding the Fourth Proportional to 311,289.40, 466,934.10 and 86,649.40

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Solution

The fourth proportional to 311,289.40, 466,934.10 and 86,649.40 is: 129,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,289.40 : 466,934.10 = 86,649.40 : x
  2. Step 2: Convert to fraction form
    311,289.40/466,934.10 = 86,649.40/x
  3. Step 3: Cross multiply
    311,289.40x = 466,934.10 × 86,649.40
  4. Step 4: Simplify right side
    311,289.40x = 40,459,559,604.54
  5. Step 5: Solve for x
    x = 40,459,559,604.54/311,289.40
  6. Step 6: Final answer
    x = 129,974.10

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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.