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Finding the Fourth Proportional to 277,285.34, 382,653.78 and 149,960.90

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Solution

The fourth proportional to 277,285.34, 382,653.78 and 149,960.90 is: 206,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,285.34 : 382,653.78 = 149,960.90 : x
  2. Step 2: Convert to fraction form
    277,285.34/382,653.78 = 149,960.90/x
  3. Step 3: Cross multiply
    277,285.34x = 382,653.78 × 149,960.90
  4. Step 4: Simplify right side
    277,285.34x = 57,383,105,237.20
  5. Step 5: Solve for x
    x = 57,383,105,237.20/277,285.34
  6. Step 6: Final answer
    x = 206,946.05

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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.