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Finding the Fourth Proportional to 277,471.64, 382,911.88 and 150,147.24

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Solution

The fourth proportional to 277,471.64, 382,911.88 and 150,147.24 is: 207,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,471.64 : 382,911.88 = 150,147.24 : x
  2. Step 2: Convert to fraction form
    277,471.64/382,911.88 = 150,147.24/x
  3. Step 3: Cross multiply
    277,471.64x = 382,911.88 × 150,147.24
  4. Step 4: Simplify right side
    277,471.64x = 57,493,161,945.21
  5. Step 5: Solve for x
    x = 57,493,161,945.21/277,471.64
  6. Step 6: Final answer
    x = 207,203.74

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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.