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Finding the Fourth Proportional to 299,500.26, 413,308.26 and 163,534.13

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Solution

The fourth proportional to 299,500.26, 413,308.26 and 163,534.13 is: 225,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,500.26 : 413,308.26 = 163,534.13 : x
  2. Step 2: Convert to fraction form
    299,500.26/413,308.26 = 163,534.13/x
  3. Step 3: Cross multiply
    299,500.26x = 413,308.26 × 163,534.13
  4. Step 4: Simplify right side
    299,500.26x = 67,590,004,654.37
  5. Step 5: Solve for x
    x = 67,590,004,654.37/299,500.26
  6. Step 6: Final answer
    x = 225,675.95

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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.