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Finding the Fourth Proportional to 631,634.20, 871,657.38 and 345,154.30

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Solution

The fourth proportional to 631,634.20, 871,657.38 and 345,154.30 is: 476,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,634.20 : 871,657.38 = 345,154.30 : x
  2. Step 2: Convert to fraction form
    631,634.20/871,657.38 = 345,154.30/x
  3. Step 3: Cross multiply
    631,634.20x = 871,657.38 × 345,154.30
  4. Step 4: Simplify right side
    631,634.20x = 300,856,292,833.73
  5. Step 5: Solve for x
    x = 300,856,292,833.73/631,634.20
  6. Step 6: Final answer
    x = 476,314.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.