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Finding the Fourth Proportional to 322,223.74, 444,610.14 and 186,207.84

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Solution

The fourth proportional to 322,223.74, 444,610.14 and 186,207.84 is: 256,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,223.74 : 444,610.14 = 186,207.84 : x
  2. Step 2: Convert to fraction form
    322,223.74/444,610.14 = 186,207.84/x
  3. Step 3: Cross multiply
    322,223.74x = 444,610.14 × 186,207.84
  4. Step 4: Simplify right side
    322,223.74x = 82,789,893,811.50
  5. Step 5: Solve for x
    x = 82,789,893,811.50/322,223.74
  6. Step 6: Final answer
    x = 256,932.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.