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Finding the Fourth Proportional to 277,289.17, 382,659.31 and 149,964.77

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Solution

The fourth proportional to 277,289.17, 382,659.31 and 149,964.77 is: 206,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289.17 : 382,659.31 = 149,964.77 : x
  2. Step 2: Convert to fraction form
    277,289.17/382,659.31 = 149,964.77/x
  3. Step 3: Cross multiply
    277,289.17x = 382,659.31 × 149,964.77
  4. Step 4: Simplify right side
    277,289.17x = 57,385,413,499.21
  5. Step 5: Solve for x
    x = 57,385,413,499.21/277,289.17
  6. Step 6: Final answer
    x = 206,951.51

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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.