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Finding the Fourth Proportional to 361,319.74, 498,570.39 and 200,184.31

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Solution

The fourth proportional to 361,319.74, 498,570.39 and 200,184.31 is: 276,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,319.74 : 498,570.39 = 200,184.31 : x
  2. Step 2: Convert to fraction form
    361,319.74/498,570.39 = 200,184.31/x
  3. Step 3: Cross multiply
    361,319.74x = 498,570.39 × 200,184.31
  4. Step 4: Simplify right side
    361,319.74x = 99,805,970,131.79
  5. Step 5: Solve for x
    x = 99,805,970,131.79/361,319.74
  6. Step 6: Final answer
    x = 276,226.18

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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.