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Finding the Fourth Proportional to 299,338.96, 449,311.92 and 149,686.24

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Solution

The fourth proportional to 299,338.96, 449,311.92 and 149,686.24 is: 224,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,338.96 : 449,311.92 = 149,686.24 : x
  2. Step 2: Convert to fraction form
    299,338.96/449,311.92 = 149,686.24/x
  3. Step 3: Cross multiply
    299,338.96x = 449,311.92 × 149,686.24
  4. Step 4: Simplify right side
    299,338.96x = 67,255,811,891.98
  5. Step 5: Solve for x
    x = 67,255,811,891.98/299,338.96
  6. Step 6: Final answer
    x = 224,681.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.