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Finding the Fourth Proportional to 611,523.88, 843,874.61 and 339,609.11

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Solution

The fourth proportional to 611,523.88, 843,874.61 and 339,609.11 is: 468,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,523.88 : 843,874.61 = 339,609.11 : x
  2. Step 2: Convert to fraction form
    611,523.88/843,874.61 = 339,609.11/x
  3. Step 3: Cross multiply
    611,523.88x = 843,874.61 × 339,609.11
  4. Step 4: Simplify right side
    611,523.88x = 286,587,499,336.28
  5. Step 5: Solve for x
    x = 286,587,499,336.28/611,523.88
  6. Step 6: Final answer
    x = 468,644.82

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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.