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Finding the Fourth Proportional to 485,057.70, 727,586.55 and 408,075.30

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Solution

The fourth proportional to 485,057.70, 727,586.55 and 408,075.30 is: 612,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,057.70 : 727,586.55 = 408,075.30 : x
  2. Step 2: Convert to fraction form
    485,057.70/727,586.55 = 408,075.30/x
  3. Step 3: Cross multiply
    485,057.70x = 727,586.55 × 408,075.30
  4. Step 4: Simplify right side
    485,057.70x = 296,910,099,667.22
  5. Step 5: Solve for x
    x = 296,910,099,667.22/485,057.70
  6. Step 6: Final answer
    x = 612,112.95

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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.