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Finding the Fourth Proportional to 265,074.74, 397,461.50 and 180,936.75

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Solution

The fourth proportional to 265,074.74, 397,461.50 and 180,936.75 is: 271,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,074.74 : 397,461.50 = 180,936.75 : x
  2. Step 2: Convert to fraction form
    265,074.74/397,461.50 = 180,936.75/x
  3. Step 3: Cross multiply
    265,074.74x = 397,461.50 × 180,936.75
  4. Step 4: Simplify right side
    265,074.74x = 71,915,391,833.95
  5. Step 5: Solve for x
    x = 71,915,391,833.95/265,074.74
  6. Step 6: Final answer
    x = 271,302.32

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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.