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Finding the Fourth Proportional to 337,458.45, 465,809.94 and 194,275.56

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Solution

The fourth proportional to 337,458.45, 465,809.94 and 194,275.56 is: 268,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,458.45 : 465,809.94 = 194,275.56 : x
  2. Step 2: Convert to fraction form
    337,458.45/465,809.94 = 194,275.56/x
  3. Step 3: Cross multiply
    337,458.45x = 465,809.94 × 194,275.56
  4. Step 4: Simplify right side
    337,458.45x = 90,495,488,693.85
  5. Step 5: Solve for x
    x = 90,495,488,693.85/337,458.45
  6. Step 6: Final answer
    x = 268,167.79

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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.