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Finding the Fourth Proportional to 349,171.44, 523,350.92 and 199,516.64

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Solution

The fourth proportional to 349,171.44, 523,350.92 and 199,516.64 is: 299,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,171.44 : 523,350.92 = 199,516.64 : x
  2. Step 2: Convert to fraction form
    349,171.44/523,350.92 = 199,516.64/x
  3. Step 3: Cross multiply
    349,171.44x = 523,350.92 × 199,516.64
  4. Step 4: Simplify right side
    349,171.44x = 104,417,217,099.31
  5. Step 5: Solve for x
    x = 104,417,217,099.31/349,171.44
  6. Step 6: Final answer
    x = 299,042.83

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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.