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Finding the Fourth Proportional to 301,758.46, 416,253.49 and 188,384.38

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Solution

The fourth proportional to 301,758.46, 416,253.49 and 188,384.38 is: 259,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,758.46 : 416,253.49 = 188,384.38 : x
  2. Step 2: Convert to fraction form
    301,758.46/416,253.49 = 188,384.38/x
  3. Step 3: Cross multiply
    301,758.46x = 416,253.49 × 188,384.38
  4. Step 4: Simplify right side
    301,758.46x = 78,415,654,654.72
  5. Step 5: Solve for x
    x = 78,415,654,654.72/301,758.46
  6. Step 6: Final answer
    x = 259,862.33

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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.