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Finding the Fourth Proportional to 532,422.16, 798,166.67 and 200,231.44

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Solution

The fourth proportional to 532,422.16, 798,166.67 and 200,231.44 is: 300,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,422.16 : 798,166.67 = 200,231.44 : x
  2. Step 2: Convert to fraction form
    532,422.16/798,166.67 = 200,231.44/x
  3. Step 3: Cross multiply
    532,422.16x = 798,166.67 × 200,231.44
  4. Step 4: Simplify right side
    532,422.16x = 159,818,058,203.85
  5. Step 5: Solve for x
    x = 159,818,058,203.85/532,422.16
  6. Step 6: Final answer
    x = 300,171.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.