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Finding the Fourth Proportional to 277,884.64, 383,568 and 177,282.56

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Solution

The fourth proportional to 277,884.64, 383,568 and 177,282.56 is: 244,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,884.64 : 383,568 = 177,282.56 : x
  2. Step 2: Convert to fraction form
    277,884.64/383,568 = 177,282.56/x
  3. Step 3: Cross multiply
    277,884.64x = 383,568 × 177,282.56
  4. Step 4: Simplify right side
    277,884.64x = 67,999,916,974.08
  5. Step 5: Solve for x
    x = 67,999,916,974.08/277,884.64
  6. Step 6: Final answer
    x = 244,705.56

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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.