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Finding the Fourth Proportional to 310,834.20, 466,251.30 and 284,914.20

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Solution

The fourth proportional to 310,834.20, 466,251.30 and 284,914.20 is: 427,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834.20 : 466,251.30 = 284,914.20 : x
  2. Step 2: Convert to fraction form
    310,834.20/466,251.30 = 284,914.20/x
  3. Step 3: Cross multiply
    310,834.20x = 466,251.30 × 284,914.20
  4. Step 4: Simplify right side
    310,834.20x = 132,841,616,138.46
  5. Step 5: Solve for x
    x = 132,841,616,138.46/310,834.20
  6. Step 6: Final answer
    x = 427,371.30

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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.