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Finding the Fourth Proportional to 287,258.58, 396,476.94 and 172,542.24

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Solution

The fourth proportional to 287,258.58, 396,476.94 and 172,542.24 is: 238,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,258.58 : 396,476.94 = 172,542.24 : x
  2. Step 2: Convert to fraction form
    287,258.58/396,476.94 = 172,542.24/x
  3. Step 3: Cross multiply
    287,258.58x = 396,476.94 × 172,542.24
  4. Step 4: Simplify right side
    287,258.58x = 68,409,019,335.95
  5. Step 5: Solve for x
    x = 68,409,019,335.95/287,258.58
  6. Step 6: Final answer
    x = 238,144.39

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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.