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Finding the Fourth Proportional to 256,221.80, 383,295.90 and 225,117.80

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Solution

The fourth proportional to 256,221.80, 383,295.90 and 225,117.80 is: 336,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,221.80 : 383,295.90 = 225,117.80 : x
  2. Step 2: Convert to fraction form
    256,221.80/383,295.90 = 225,117.80/x
  3. Step 3: Cross multiply
    256,221.80x = 383,295.90 × 225,117.80
  4. Step 4: Simplify right side
    256,221.80x = 86,286,729,757.02
  5. Step 5: Solve for x
    x = 86,286,729,757.02/256,221.80
  6. Step 6: Final answer
    x = 336,765.76

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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.