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Finding the Fourth Proportional to 599,461.95, 827,247.69 and 327,523.98

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Solution

The fourth proportional to 599,461.95, 827,247.69 and 327,523.98 is: 451,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,461.95 : 827,247.69 = 327,523.98 : x
  2. Step 2: Convert to fraction form
    599,461.95/827,247.69 = 327,523.98/x
  3. Step 3: Cross multiply
    599,461.95x = 827,247.69 × 327,523.98
  4. Step 4: Simplify right side
    599,461.95x = 270,943,455,874.61
  5. Step 5: Solve for x
    x = 270,943,455,874.61/599,461.95
  6. Step 6: Final answer
    x = 451,977.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.