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Finding the Fourth Proportional to 277,280.59, 382,647.36 and 149,956.21

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Solution

The fourth proportional to 277,280.59, 382,647.36 and 149,956.21 is: 206,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,280.59 : 382,647.36 = 149,956.21 : x
  2. Step 2: Convert to fraction form
    277,280.59/382,647.36 = 149,956.21/x
  3. Step 3: Cross multiply
    277,280.59x = 382,647.36 × 149,956.21
  4. Step 4: Simplify right side
    277,280.59x = 57,380,347,872.11
  5. Step 5: Solve for x
    x = 57,380,347,872.11/277,280.59
  6. Step 6: Final answer
    x = 206,939.65

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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.