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Finding the Fourth Proportional to 349,174.44, 523,355.42 and 199,519.64

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Solution

The fourth proportional to 349,174.44, 523,355.42 and 199,519.64 is: 299,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,174.44 : 523,355.42 = 199,519.64 : x
  2. Step 2: Convert to fraction form
    349,174.44/523,355.42 = 199,519.64/x
  3. Step 3: Cross multiply
    349,174.44x = 523,355.42 × 199,519.64
  4. Step 4: Simplify right side
    349,174.44x = 104,419,684,990.45
  5. Step 5: Solve for x
    x = 104,419,684,990.45/349,174.44
  6. Step 6: Final answer
    x = 299,047.33

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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.