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Finding the Fourth Proportional to 255,456, 383,523.12 and 218,255.04

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Solution

The fourth proportional to 255,456, 383,523.12 and 218,255.04 is: 327,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,456 : 383,523.12 = 218,255.04 : x
  2. Step 2: Convert to fraction form
    255,456/383,523.12 = 218,255.04/x
  3. Step 3: Cross multiply
    255,456x = 383,523.12 × 218,255.04
  4. Step 4: Simplify right side
    255,456x = 83,705,853,896.52
  5. Step 5: Solve for x
    x = 83,705,853,896.52/255,456
  6. Step 6: Final answer
    x = 327,672.30

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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.