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Finding the Fourth Proportional to 342,735.26, 514,191.60 and 200,700.55

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Solution

The fourth proportional to 342,735.26, 514,191.60 and 200,700.55 is: 301,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,735.26 : 514,191.60 = 200,700.55 : x
  2. Step 2: Convert to fraction form
    342,735.26/514,191.60 = 200,700.55/x
  3. Step 3: Cross multiply
    342,735.26x = 514,191.60 × 200,700.55
  4. Step 4: Simplify right side
    342,735.26x = 103,198,535,639.90
  5. Step 5: Solve for x
    x = 103,198,535,639.90/342,735.26
  6. Step 6: Final answer
    x = 301,102.77

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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.