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Finding the Fourth Proportional to 310,850.70, 466,276.05 and 284,930.70

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Solution

The fourth proportional to 310,850.70, 466,276.05 and 284,930.70 is: 427,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,850.70 : 466,276.05 = 284,930.70 : x
  2. Step 2: Convert to fraction form
    310,850.70/466,276.05 = 284,930.70/x
  3. Step 3: Cross multiply
    310,850.70x = 466,276.05 × 284,930.70
  4. Step 4: Simplify right side
    310,850.70x = 132,856,361,319.74
  5. Step 5: Solve for x
    x = 132,856,361,319.74/310,850.70
  6. Step 6: Final answer
    x = 427,396.05

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Why These Related Problems?

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