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Finding the Fourth Proportional to 412,713.52, 619,245.20 and 225,506.32

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Solution

The fourth proportional to 412,713.52, 619,245.20 and 225,506.32 is: 338,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,713.52 : 619,245.20 = 225,506.32 : x
  2. Step 2: Convert to fraction form
    412,713.52/619,245.20 = 225,506.32/x
  3. Step 3: Cross multiply
    412,713.52x = 619,245.20 × 225,506.32
  4. Step 4: Simplify right side
    412,713.52x = 139,643,706,229.66
  5. Step 5: Solve for x
    x = 139,643,706,229.66/412,713.52
  6. Step 6: Final answer
    x = 338,355.06

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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.