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Finding the Fourth Proportional to 547,228.20, 820,842.30 and 147,930.60

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Solution

The fourth proportional to 547,228.20, 820,842.30 and 147,930.60 is: 221,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,228.20 : 820,842.30 = 147,930.60 : x
  2. Step 2: Convert to fraction form
    547,228.20/820,842.30 = 147,930.60/x
  3. Step 3: Cross multiply
    547,228.20x = 820,842.30 × 147,930.60
  4. Step 4: Simplify right side
    547,228.20x = 121,427,693,944.38
  5. Step 5: Solve for x
    x = 121,427,693,944.38/547,228.20
  6. Step 6: Final answer
    x = 221,895.90

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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.