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Finding the Fourth Proportional to 299,649.50, 413,517.72 and 163,685.33

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Solution

The fourth proportional to 299,649.50, 413,517.72 and 163,685.33 is: 225,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,649.50 : 413,517.72 = 163,685.33 : x
  2. Step 2: Convert to fraction form
    299,649.50/413,517.72 = 163,685.33/x
  3. Step 3: Cross multiply
    299,649.50x = 413,517.72 × 163,685.33
  4. Step 4: Simplify right side
    299,649.50x = 67,686,784,459.05
  5. Step 5: Solve for x
    x = 67,686,784,459.05/299,649.50
  6. Step 6: Final answer
    x = 225,886.53

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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.