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Finding the Fourth Proportional to 391,286.75, 586,819.40 and 177,935.33

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Solution

The fourth proportional to 391,286.75, 586,819.40 and 177,935.33 is: 266,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,286.75 : 586,819.40 = 177,935.33 : x
  2. Step 2: Convert to fraction form
    391,286.75/586,819.40 = 177,935.33/x
  3. Step 3: Cross multiply
    391,286.75x = 586,819.40 × 177,935.33
  4. Step 4: Simplify right side
    391,286.75x = 104,415,899,765.63
  5. Step 5: Solve for x
    x = 104,415,899,765.63/391,286.75
  6. Step 6: Final answer
    x = 266,852.64

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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.