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Finding the Fourth Proportional to 277,822.28, 383,394.38 and 150,498.38

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Solution

The fourth proportional to 277,822.28, 383,394.38 and 150,498.38 is: 207,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,822.28 : 383,394.38 = 150,498.38 : x
  2. Step 2: Convert to fraction form
    277,822.28/383,394.38 = 150,498.38/x
  3. Step 3: Cross multiply
    277,822.28x = 383,394.38 × 150,498.38
  4. Step 4: Simplify right side
    277,822.28x = 57,700,233,091.10
  5. Step 5: Solve for x
    x = 57,700,233,091.10/277,822.28
  6. Step 6: Final answer
    x = 207,687.57

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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.