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Finding the Fourth Proportional to 277,757.28, 383,305.14 and 150,432.89

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Solution

The fourth proportional to 277,757.28, 383,305.14 and 150,432.89 is: 207,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,757.28 : 383,305.14 = 150,432.89 : x
  2. Step 2: Convert to fraction form
    277,757.28/383,305.14 = 150,432.89/x
  3. Step 3: Cross multiply
    277,757.28x = 383,305.14 × 150,432.89
  4. Step 4: Simplify right side
    277,757.28x = 57,661,698,045.53
  5. Step 5: Solve for x
    x = 57,661,698,045.53/277,757.28
  6. Step 6: Final answer
    x = 207,597.43

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1.5x scale

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.