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Finding the Fourth Proportional to 277,498.92, 382,949.19 and 150,175.44

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Solution

The fourth proportional to 277,498.92, 382,949.19 and 150,175.44 is: 207,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498.92 : 382,949.19 = 150,175.44 : x
  2. Step 2: Convert to fraction form
    277,498.92/382,949.19 = 150,175.44/x
  3. Step 3: Cross multiply
    277,498.92x = 382,949.19 × 150,175.44
  4. Step 4: Simplify right side
    277,498.92x = 57,509,563,105.89
  5. Step 5: Solve for x
    x = 57,509,563,105.89/277,498.92
  6. Step 6: Final answer
    x = 207,242.48

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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.