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Finding the Fourth Proportional to 299,497.37, 413,308.35 and 163,532.25

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Solution

The fourth proportional to 299,497.37, 413,308.35 and 163,532.25 is: 225,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,497.37 : 413,308.35 = 163,532.25 : x
  2. Step 2: Convert to fraction form
    299,497.37/413,308.35 = 163,532.25/x
  3. Step 3: Cross multiply
    299,497.37x = 413,308.35 × 163,532.25
  4. Step 4: Simplify right side
    299,497.37x = 67,589,244,419.29
  5. Step 5: Solve for x
    x = 67,589,244,419.29/299,497.37
  6. Step 6: Final answer
    x = 225,675.59

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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.