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Finding the Fourth Proportional to 545,820.80, 818,731.20 and 171,843.80

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Solution

The fourth proportional to 545,820.80, 818,731.20 and 171,843.80 is: 257,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,820.80 : 818,731.20 = 171,843.80 : x
  2. Step 2: Convert to fraction form
    545,820.80/818,731.20 = 171,843.80/x
  3. Step 3: Cross multiply
    545,820.80x = 818,731.20 × 171,843.80
  4. Step 4: Simplify right side
    545,820.80x = 140,693,880,586.56
  5. Step 5: Solve for x
    x = 140,693,880,586.56/545,820.80
  6. Step 6: Final answer
    x = 257,765.70

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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.