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Finding the Fourth Proportional to 337,558, 465,888.36 and 203,422

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Solution

The fourth proportional to 337,558, 465,888.36 and 203,422 is: 280,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,558 : 465,888.36 = 203,422 : x
  2. Step 2: Convert to fraction form
    337,558/465,888.36 = 203,422/x
  3. Step 3: Cross multiply
    337,558x = 465,888.36 × 203,422
  4. Step 4: Simplify right side
    337,558x = 94,771,941,967.92
  5. Step 5: Solve for x
    x = 94,771,941,967.92/337,558
  6. Step 6: Final answer
    x = 280,757.51

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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.