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Finding the Fourth Proportional to 310,845.20, 466,498.20 and 227,901.20

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Solution

The fourth proportional to 310,845.20, 466,498.20 and 227,901.20 is: 342,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,845.20 : 466,498.20 = 227,901.20 : x
  2. Step 2: Convert to fraction form
    310,845.20/466,498.20 = 227,901.20/x
  3. Step 3: Cross multiply
    310,845.20x = 466,498.20 × 227,901.20
  4. Step 4: Simplify right side
    310,845.20x = 106,315,499,577.84
  5. Step 5: Solve for x
    x = 106,315,499,577.84/310,845.20
  6. Step 6: Final answer
    x = 342,020.72

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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.