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Finding the Fourth Proportional to 335,514, 462,856.74 and 199,470.76

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Solution

The fourth proportional to 335,514, 462,856.74 and 199,470.76 is: 275,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,514 : 462,856.74 = 199,470.76 : x
  2. Step 2: Convert to fraction form
    335,514/462,856.74 = 199,470.76/x
  3. Step 3: Cross multiply
    335,514x = 462,856.74 × 199,470.76
  4. Step 4: Simplify right side
    335,514x = 92,326,385,698.92
  5. Step 5: Solve for x
    x = 92,326,385,698.92/335,514
  6. Step 6: Final answer
    x = 275,178.94

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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.