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Finding the Fourth Proportional to 309,044.40, 462,983.40 and 288,049.20

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Solution

The fourth proportional to 309,044.40, 462,983.40 and 288,049.20 is: 431,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,044.40 : 462,983.40 = 288,049.20 : x
  2. Step 2: Convert to fraction form
    309,044.40/462,983.40 = 288,049.20/x
  3. Step 3: Cross multiply
    309,044.40x = 462,983.40 × 288,049.20
  4. Step 4: Simplify right side
    309,044.40x = 133,361,997,983.28
  5. Step 5: Solve for x
    x = 133,361,997,983.28/309,044.40
  6. Step 6: Final answer
    x = 431,530.22

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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.