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Finding the Fourth Proportional to 492,804.80, 739,207.20 and 324,843.20

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Solution

The fourth proportional to 492,804.80, 739,207.20 and 324,843.20 is: 487,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804.80 : 739,207.20 = 324,843.20 : x
  2. Step 2: Convert to fraction form
    492,804.80/739,207.20 = 324,843.20/x
  3. Step 3: Cross multiply
    492,804.80x = 739,207.20 × 324,843.20
  4. Step 4: Simplify right side
    492,804.80x = 240,126,432,311.04
  5. Step 5: Solve for x
    x = 240,126,432,311.04/492,804.80
  6. Step 6: Final answer
    x = 487,264.80

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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.