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Finding the Fourth Proportional to 397,768.41, 596,652.60 and 327,500.10

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Solution

The fourth proportional to 397,768.41, 596,652.60 and 327,500.10 is: 491,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,768.41 : 596,652.60 = 327,500.10 : x
  2. Step 2: Convert to fraction form
    397,768.41/596,652.60 = 327,500.10/x
  3. Step 3: Cross multiply
    397,768.41x = 596,652.60 × 327,500.10
  4. Step 4: Simplify right side
    397,768.41x = 195,403,786,165.26
  5. Step 5: Solve for x
    x = 195,403,786,165.26/397,768.41
  6. Step 6: Final answer
    x = 491,250.14

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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.