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Finding the Fourth Proportional to 541,898.42, 812,716.91 and 226,184.18

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Solution

The fourth proportional to 541,898.42, 812,716.91 and 226,184.18 is: 339,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,898.42 : 812,716.91 = 226,184.18 : x
  2. Step 2: Convert to fraction form
    541,898.42/812,716.91 = 226,184.18/x
  3. Step 3: Cross multiply
    541,898.42x = 812,716.91 × 226,184.18
  4. Step 4: Simplify right side
    541,898.42x = 183,823,707,860.48
  5. Step 5: Solve for x
    x = 183,823,707,860.48/541,898.42
  6. Step 6: Final answer
    x = 339,221.71

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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.