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Finding the Fourth Proportional to 342,735.42, 514,191.82 and 200,700.70

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Solution

The fourth proportional to 342,735.42, 514,191.82 and 200,700.70 is: 301,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,735.42 : 514,191.82 = 200,700.70 : x
  2. Step 2: Convert to fraction form
    342,735.42/514,191.82 = 200,700.70/x
  3. Step 3: Cross multiply
    342,735.42x = 514,191.82 × 200,700.70
  4. Step 4: Simplify right side
    342,735.42x = 103,198,658,208.27
  5. Step 5: Solve for x
    x = 103,198,658,208.27/342,735.42
  6. Step 6: Final answer
    x = 301,102.99

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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.