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Finding the Fourth Proportional to 397,251.60, 595,877.40 and 394,918.80

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Solution

The fourth proportional to 397,251.60, 595,877.40 and 394,918.80 is: 592,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,251.60 : 595,877.40 = 394,918.80 : x
  2. Step 2: Convert to fraction form
    397,251.60/595,877.40 = 394,918.80/x
  3. Step 3: Cross multiply
    397,251.60x = 595,877.40 × 394,918.80
  4. Step 4: Simplify right side
    397,251.60x = 235,323,187,755.12
  5. Step 5: Solve for x
    x = 235,323,187,755.12/397,251.60
  6. Step 6: Final answer
    x = 592,378.20

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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.