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Finding the Fourth Proportional to 485,176.20, 726,014.70 and 327,712.20

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Solution

The fourth proportional to 485,176.20, 726,014.70 and 327,712.20 is: 490,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,176.20 : 726,014.70 = 327,712.20 : x
  2. Step 2: Convert to fraction form
    485,176.20/726,014.70 = 327,712.20/x
  3. Step 3: Cross multiply
    485,176.20x = 726,014.70 × 327,712.20
  4. Step 4: Simplify right side
    485,176.20x = 237,923,874,569.34
  5. Step 5: Solve for x
    x = 237,923,874,569.34/485,176.20
  6. Step 6: Final answer
    x = 490,386.53

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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.