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Finding the Fourth Proportional to 280,961.38, 387,411.40 and 178,825.06

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Solution

The fourth proportional to 280,961.38, 387,411.40 and 178,825.06 is: 246,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,961.38 : 387,411.40 = 178,825.06 : x
  2. Step 2: Convert to fraction form
    280,961.38/387,411.40 = 178,825.06/x
  3. Step 3: Cross multiply
    280,961.38x = 387,411.40 × 178,825.06
  4. Step 4: Simplify right side
    280,961.38x = 69,278,866,849.68
  5. Step 5: Solve for x
    x = 69,278,866,849.68/280,961.38
  6. Step 6: Final answer
    x = 246,577.90

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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.