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Finding the Fourth Proportional to 311,021.40, 466,532.10 and 133,498.20

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Solution

The fourth proportional to 311,021.40, 466,532.10 and 133,498.20 is: 200,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,021.40 : 466,532.10 = 133,498.20 : x
  2. Step 2: Convert to fraction form
    311,021.40/466,532.10 = 133,498.20/x
  3. Step 3: Cross multiply
    311,021.40x = 466,532.10 × 133,498.20
  4. Step 4: Simplify right side
    311,021.40x = 62,281,195,592.22
  5. Step 5: Solve for x
    x = 62,281,195,592.22/311,021.40
  6. Step 6: Final answer
    x = 200,247.30

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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.