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Finding the Fourth Proportional to 277,052.96, 382,305.48 and 169,653.44

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Solution

The fourth proportional to 277,052.96, 382,305.48 and 169,653.44 is: 234,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,052.96 : 382,305.48 = 169,653.44 : x
  2. Step 2: Convert to fraction form
    277,052.96/382,305.48 = 169,653.44/x
  3. Step 3: Cross multiply
    277,052.96x = 382,305.48 × 169,653.44
  4. Step 4: Simplify right side
    277,052.96x = 64,859,439,812.85
  5. Step 5: Solve for x
    x = 64,859,439,812.85/277,052.96
  6. Step 6: Final answer
    x = 234,104.84

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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.