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Finding the Fourth Proportional to 299,621.52, 413,643.78 and 204,268.32

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Solution

The fourth proportional to 299,621.52, 413,643.78 and 204,268.32 is: 282,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,621.52 : 413,643.78 = 204,268.32 : x
  2. Step 2: Convert to fraction form
    299,621.52/413,643.78 = 204,268.32/x
  3. Step 3: Cross multiply
    299,621.52x = 413,643.78 × 204,268.32
  4. Step 4: Simplify right side
    299,621.52x = 84,494,320,019.05
  5. Step 5: Solve for x
    x = 84,494,320,019.05/299,621.52
  6. Step 6: Final answer
    x = 282,003.51

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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.