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Finding the Fourth Proportional to 398,319.88, 597,188.20 and 187,843

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Solution

The fourth proportional to 398,319.88, 597,188.20 and 187,843 is: 281,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,319.88 : 597,188.20 = 187,843 : x
  2. Step 2: Convert to fraction form
    398,319.88/597,188.20 = 187,843/x
  3. Step 3: Cross multiply
    398,319.88x = 597,188.20 × 187,843
  4. Step 4: Simplify right side
    398,319.88x = 112,177,623,052.60
  5. Step 5: Solve for x
    x = 112,177,623,052.60/398,319.88
  6. Step 6: Final answer
    x = 281,626.98

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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.