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Finding the Fourth Proportional to 299,302.68, 413,046.41 and 163,345.37

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Solution

The fourth proportional to 299,302.68, 413,046.41 and 163,345.37 is: 225,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.68 : 413,046.41 = 163,345.37 : x
  2. Step 2: Convert to fraction form
    299,302.68/413,046.41 = 163,345.37/x
  3. Step 3: Cross multiply
    299,302.68x = 413,046.41 × 163,345.37
  4. Step 4: Simplify right side
    299,302.68x = 67,469,215,786.66
  5. Step 5: Solve for x
    x = 67,469,215,786.66/299,302.68
  6. Step 6: Final answer
    x = 225,421.36

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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.