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Finding the Fourth Proportional to 338,175, 466,696.17 and 187,272

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Solution

The fourth proportional to 338,175, 466,696.17 and 187,272 is: 258,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,175 : 466,696.17 = 187,272 : x
  2. Step 2: Convert to fraction form
    338,175/466,696.17 = 187,272/x
  3. Step 3: Cross multiply
    338,175x = 466,696.17 × 187,272
  4. Step 4: Simplify right side
    338,175x = 87,399,125,148.24
  5. Step 5: Solve for x
    x = 87,399,125,148.24/338,175
  6. Step 6: Final answer
    x = 258,443.48

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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.