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Finding the Fourth Proportional to 299,924.41, 413,896.52 and 163,960

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Solution

The fourth proportional to 299,924.41, 413,896.52 and 163,960 is: 226,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,924.41 : 413,896.52 = 163,960 : x
  2. Step 2: Convert to fraction form
    299,924.41/413,896.52 = 163,960/x
  3. Step 3: Cross multiply
    299,924.41x = 413,896.52 × 163,960
  4. Step 4: Simplify right side
    299,924.41x = 67,862,473,419.20
  5. Step 5: Solve for x
    x = 67,862,473,419.20/299,924.41
  6. Step 6: Final answer
    x = 226,265.26

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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.