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Finding the Fourth Proportional to 397,771.11, 596,656.71 and 327,502.80

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Solution

The fourth proportional to 397,771.11, 596,656.71 and 327,502.80 is: 491,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,771.11 : 596,656.71 = 327,502.80 : x
  2. Step 2: Convert to fraction form
    397,771.11/596,656.71 = 327,502.80/x
  3. Step 3: Cross multiply
    397,771.11x = 596,656.71 × 327,502.80
  4. Step 4: Simplify right side
    397,771.11x = 195,406,743,163.79
  5. Step 5: Solve for x
    x = 195,406,743,163.79/397,771.11
  6. Step 6: Final answer
    x = 491,254.24

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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.