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Finding the Fourth Proportional to 277,288.42, 382,658.28 and 149,964.01

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Solution

The fourth proportional to 277,288.42, 382,658.28 and 149,964.01 is: 206,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,288.42 : 382,658.28 = 149,964.01 : x
  2. Step 2: Convert to fraction form
    277,288.42/382,658.28 = 149,964.01/x
  3. Step 3: Cross multiply
    277,288.42x = 382,658.28 × 149,964.01
  4. Step 4: Simplify right side
    277,288.42x = 57,384,970,335.33
  5. Step 5: Solve for x
    x = 57,384,970,335.33/277,288.42
  6. Step 6: Final answer
    x = 206,950.48

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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.