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Finding the Fourth Proportional to 442,809.30, 663,229.80 and 364,077.30

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Solution

The fourth proportional to 442,809.30, 663,229.80 and 364,077.30 is: 545,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,809.30 : 663,229.80 = 364,077.30 : x
  2. Step 2: Convert to fraction form
    442,809.30/663,229.80 = 364,077.30/x
  3. Step 3: Cross multiply
    442,809.30x = 663,229.80 × 364,077.30
  4. Step 4: Simplify right side
    442,809.30x = 241,466,914,863.54
  5. Step 5: Solve for x
    x = 241,466,914,863.54/442,809.30
  6. Step 6: Final answer
    x = 545,306.78

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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.