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Finding the Fourth Proportional to 277,509.62, 382,963.25 and 150,185.24

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Solution

The fourth proportional to 277,509.62, 382,963.25 and 150,185.24 is: 207,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509.62 : 382,963.25 = 150,185.24 : x
  2. Step 2: Convert to fraction form
    277,509.62/382,963.25 = 150,185.24/x
  3. Step 3: Cross multiply
    277,509.62x = 382,963.25 × 150,185.24
  4. Step 4: Simplify right side
    277,509.62x = 57,515,427,612.43
  5. Step 5: Solve for x
    x = 57,515,427,612.43/277,509.62
  6. Step 6: Final answer
    x = 207,255.62

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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.