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Finding the Fourth Proportional to 467,909.80, 701,864.70 and 187,628.20

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Solution

The fourth proportional to 467,909.80, 701,864.70 and 187,628.20 is: 281,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,909.80 : 701,864.70 = 187,628.20 : x
  2. Step 2: Convert to fraction form
    467,909.80/701,864.70 = 187,628.20/x
  3. Step 3: Cross multiply
    467,909.80x = 701,864.70 × 187,628.20
  4. Step 4: Simplify right side
    467,909.80x = 131,689,610,304.54
  5. Step 5: Solve for x
    x = 131,689,610,304.54/467,909.80
  6. Step 6: Final answer
    x = 281,442.30

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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.