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Finding the Fourth Proportional to 256,530.38, 354,110.91 and 229,625.42

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Solution

The fourth proportional to 256,530.38, 354,110.91 and 229,625.42 is: 316,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.38 : 354,110.91 = 229,625.42 : x
  2. Step 2: Convert to fraction form
    256,530.38/354,110.91 = 229,625.42/x
  3. Step 3: Cross multiply
    256,530.38x = 354,110.91 × 229,625.42
  4. Step 4: Simplify right side
    256,530.38x = 81,312,866,435.33
  5. Step 5: Solve for x
    x = 81,312,866,435.33/256,530.38
  6. Step 6: Final answer
    x = 316,971.68

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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.