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Finding the Fourth Proportional to 262,961.60, 394,442.40 and 96,814.40

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Solution

The fourth proportional to 262,961.60, 394,442.40 and 96,814.40 is: 145,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,961.60 : 394,442.40 = 96,814.40 : x
  2. Step 2: Convert to fraction form
    262,961.60/394,442.40 = 96,814.40/x
  3. Step 3: Cross multiply
    262,961.60x = 394,442.40 × 96,814.40
  4. Step 4: Simplify right side
    262,961.60x = 38,187,704,290.56
  5. Step 5: Solve for x
    x = 38,187,704,290.56/262,961.60
  6. Step 6: Final answer
    x = 145,221.60

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1.5x scale

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.