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Finding the Fourth Proportional to 276,770.92, 381,934.82 and 174,850.64

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Solution

The fourth proportional to 276,770.92, 381,934.82 and 174,850.64 is: 241,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,770.92 : 381,934.82 = 174,850.64 : x
  2. Step 2: Convert to fraction form
    276,770.92/381,934.82 = 174,850.64/x
  3. Step 3: Cross multiply
    276,770.92x = 381,934.82 × 174,850.64
  4. Step 4: Simplify right side
    276,770.92x = 66,781,547,715.28
  5. Step 5: Solve for x
    x = 66,781,547,715.28/276,770.92
  6. Step 6: Final answer
    x = 241,288.17

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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.