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Finding the Fourth Proportional to 288,312.44, 397,765.74 and 180,843.26

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Solution

The fourth proportional to 288,312.44, 397,765.74 and 180,843.26 is: 249,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,312.44 : 397,765.74 = 180,843.26 : x
  2. Step 2: Convert to fraction form
    288,312.44/397,765.74 = 180,843.26/x
  3. Step 3: Cross multiply
    288,312.44x = 397,765.74 × 180,843.26
  4. Step 4: Simplify right side
    288,312.44x = 71,933,253,137.91
  5. Step 5: Solve for x
    x = 71,933,253,137.91/288,312.44
  6. Step 6: Final answer
    x = 249,497.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.