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Finding the Fourth Proportional to 284,919, 426,602.85 and 200,552.64

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Solution

The fourth proportional to 284,919, 426,602.85 and 200,552.64 is: 300,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,919 : 426,602.85 = 200,552.64 : x
  2. Step 2: Convert to fraction form
    284,919/426,602.85 = 200,552.64/x
  3. Step 3: Cross multiply
    284,919x = 426,602.85 × 200,552.64
  4. Step 4: Simplify right side
    284,919x = 85,556,327,799.02
  5. Step 5: Solve for x
    x = 85,556,327,799.02/284,919
  6. Step 6: Final answer
    x = 300,282.98

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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.