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Finding the Fourth Proportional to 342,003.70, 513,005.55 and 200,286.10

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Solution

The fourth proportional to 342,003.70, 513,005.55 and 200,286.10 is: 300,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,003.70 : 513,005.55 = 200,286.10 : x
  2. Step 2: Convert to fraction form
    342,003.70/513,005.55 = 200,286.10/x
  3. Step 3: Cross multiply
    342,003.70x = 513,005.55 × 200,286.10
  4. Step 4: Simplify right side
    342,003.70x = 102,747,880,887.86
  5. Step 5: Solve for x
    x = 102,747,880,887.86/342,003.70
  6. Step 6: Final answer
    x = 300,429.15

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