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Finding the Fourth Proportional to 277,356.33, 382,630.14 and 162,576.78

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Solution

The fourth proportional to 277,356.33, 382,630.14 and 162,576.78 is: 224,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,356.33 : 382,630.14 = 162,576.78 : x
  2. Step 2: Convert to fraction form
    277,356.33/382,630.14 = 162,576.78/x
  3. Step 3: Cross multiply
    277,356.33x = 382,630.14 × 162,576.78
  4. Step 4: Simplify right side
    277,356.33x = 62,206,776,092.15
  5. Step 5: Solve for x
    x = 62,206,776,092.15/277,356.33
  6. Step 6: Final answer
    x = 224,284.68

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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.