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Finding the Fourth Proportional to 409,079.20, 613,042.80 and 324,983.20

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Solution

The fourth proportional to 409,079.20, 613,042.80 and 324,983.20 is: 487,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,079.20 : 613,042.80 = 324,983.20 : x
  2. Step 2: Convert to fraction form
    409,079.20/613,042.80 = 324,983.20/x
  3. Step 3: Cross multiply
    409,079.20x = 613,042.80 × 324,983.20
  4. Step 4: Simplify right side
    409,079.20x = 199,228,610,880.96
  5. Step 5: Solve for x
    x = 199,228,610,880.96/409,079.20
  6. Step 6: Final answer
    x = 487,017.21

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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.