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Finding the Fourth Proportional to 305,660, 457,843.61 and 193,282.22

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Solution

The fourth proportional to 305,660, 457,843.61 and 193,282.22 is: 289,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,660 : 457,843.61 = 193,282.22 : x
  2. Step 2: Convert to fraction form
    305,660/457,843.61 = 193,282.22/x
  3. Step 3: Cross multiply
    305,660x = 457,843.61 × 193,282.22
  4. Step 4: Simplify right side
    305,660x = 88,493,029,353.61
  5. Step 5: Solve for x
    x = 88,493,029,353.61/305,660
  6. Step 6: Final answer
    x = 289,514.59

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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.