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Finding the Fourth Proportional to 280,694.68, 387,617.34 and 180,267.64

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Solution

The fourth proportional to 280,694.68, 387,617.34 and 180,267.64 is: 248,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,694.68 : 387,617.34 = 180,267.64 : x
  2. Step 2: Convert to fraction form
    280,694.68/387,617.34 = 180,267.64/x
  3. Step 3: Cross multiply
    280,694.68x = 387,617.34 × 180,267.64
  4. Step 4: Simplify right side
    280,694.68x = 69,874,863,104.88
  5. Step 5: Solve for x
    x = 69,874,863,104.88/280,694.68
  6. Step 6: Final answer
    x = 248,935.47

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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.