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Finding the Fourth Proportional to 277,009.72, 382,451.33 and 173,785.43

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Solution

The fourth proportional to 277,009.72, 382,451.33 and 173,785.43 is: 239,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,009.72 : 382,451.33 = 173,785.43 : x
  2. Step 2: Convert to fraction form
    277,009.72/382,451.33 = 173,785.43/x
  3. Step 3: Cross multiply
    277,009.72x = 382,451.33 × 173,785.43
  4. Step 4: Simplify right side
    277,009.72x = 66,464,468,838.12
  5. Step 5: Solve for x
    x = 66,464,468,838.12/277,009.72
  6. Step 6: Final answer
    x = 239,935.51

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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.