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Finding the Fourth Proportional to 264,002.10, 396,003.15 and 169,523.70

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Solution

The fourth proportional to 264,002.10, 396,003.15 and 169,523.70 is: 254,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002.10 : 396,003.15 = 169,523.70 : x
  2. Step 2: Convert to fraction form
    264,002.10/396,003.15 = 169,523.70/x
  3. Step 3: Cross multiply
    264,002.10x = 396,003.15 × 169,523.70
  4. Step 4: Simplify right side
    264,002.10x = 67,131,919,199.66
  5. Step 5: Solve for x
    x = 67,131,919,199.66/264,002.10
  6. Step 6: Final answer
    x = 254,285.55

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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.