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Finding the Fourth Proportional to 400,249.75, 600,610.35 and 147,707.95

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Solution

The fourth proportional to 400,249.75, 600,610.35 and 147,707.95 is: 221,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,249.75 : 600,610.35 = 147,707.95 : x
  2. Step 2: Convert to fraction form
    400,249.75/600,610.35 = 147,707.95/x
  3. Step 3: Cross multiply
    400,249.75x = 600,610.35 × 147,707.95
  4. Step 4: Simplify right side
    400,249.75x = 88,714,923,178.01
  5. Step 5: Solve for x
    x = 88,714,923,178.01/400,249.75
  6. Step 6: Final answer
    x = 221,648.92

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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.