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Finding the Fourth Proportional to 277,048.55, 381,350.84 and 200,443.41

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Solution

The fourth proportional to 277,048.55, 381,350.84 and 200,443.41 is: 275,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,048.55 : 381,350.84 = 200,443.41 : x
  2. Step 2: Convert to fraction form
    277,048.55/381,350.84 = 200,443.41/x
  3. Step 3: Cross multiply
    277,048.55x = 381,350.84 × 200,443.41
  4. Step 4: Simplify right side
    277,048.55x = 76,439,261,773.75
  5. Step 5: Solve for x
    x = 76,439,261,773.75/277,048.55
  6. Step 6: Final answer
    x = 275,905.65

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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.