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Finding the Fourth Proportional to 277,772.38, 383,326.50 and 150,448

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Solution

The fourth proportional to 277,772.38, 383,326.50 and 150,448 is: 207,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,772.38 : 383,326.50 = 150,448 : x
  2. Step 2: Convert to fraction form
    277,772.38/383,326.50 = 150,448/x
  3. Step 3: Cross multiply
    277,772.38x = 383,326.50 × 150,448
  4. Step 4: Simplify right side
    277,772.38x = 57,670,705,272
  5. Step 5: Solve for x
    x = 57,670,705,272/277,772.38
  6. Step 6: Final answer
    x = 207,618.57

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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.