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Finding the Fourth Proportional to 299,310.68, 413,057.44 and 163,353.36

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Solution

The fourth proportional to 299,310.68, 413,057.44 and 163,353.36 is: 225,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,310.68 : 413,057.44 = 163,353.36 : x
  2. Step 2: Convert to fraction form
    299,310.68/413,057.44 = 163,353.36/x
  3. Step 3: Cross multiply
    299,310.68x = 413,057.44 × 163,353.36
  4. Step 4: Simplify right side
    299,310.68x = 67,474,320,697.00
  5. Step 5: Solve for x
    x = 67,474,320,697.00/299,310.68
  6. Step 6: Final answer
    x = 225,432.39

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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.