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Finding the Fourth Proportional to 232,717.80, 349,076.70 and 209,098.20

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Solution

The fourth proportional to 232,717.80, 349,076.70 and 209,098.20 is: 313,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,717.80 : 349,076.70 = 209,098.20 : x
  2. Step 2: Convert to fraction form
    232,717.80/349,076.70 = 209,098.20/x
  3. Step 3: Cross multiply
    232,717.80x = 349,076.70 × 209,098.20
  4. Step 4: Simplify right side
    232,717.80x = 72,991,309,631.94
  5. Step 5: Solve for x
    x = 72,991,309,631.94/232,717.80
  6. Step 6: Final answer
    x = 313,647.30

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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.