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Finding the Fourth Proportional to 371,264.16, 512,344.88 and 201,498.24

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Solution

The fourth proportional to 371,264.16, 512,344.88 and 201,498.24 is: 278,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,264.16 : 512,344.88 = 201,498.24 : x
  2. Step 2: Convert to fraction form
    371,264.16/512,344.88 = 201,498.24/x
  3. Step 3: Cross multiply
    371,264.16x = 512,344.88 × 201,498.24
  4. Step 4: Simplify right side
    371,264.16x = 103,236,591,593.01
  5. Step 5: Solve for x
    x = 103,236,591,593.01/371,264.16
  6. Step 6: Final answer
    x = 278,067.76

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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.