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Finding the Fourth Proportional to 256,645.80, 384,531.30 and 219,029.40

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Solution

The fourth proportional to 256,645.80, 384,531.30 and 219,029.40 is: 328,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,645.80 : 384,531.30 = 219,029.40 : x
  2. Step 2: Convert to fraction form
    256,645.80/384,531.30 = 219,029.40/x
  3. Step 3: Cross multiply
    256,645.80x = 384,531.30 × 219,029.40
  4. Step 4: Simplify right side
    256,645.80x = 84,223,659,920.22
  5. Step 5: Solve for x
    x = 84,223,659,920.22/256,645.80
  6. Step 6: Final answer
    x = 328,170.81

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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.