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Finding the Fourth Proportional to 377,855.28, 566,861.76 and 200,314.08

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Solution

The fourth proportional to 377,855.28, 566,861.76 and 200,314.08 is: 300,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,855.28 : 566,861.76 = 200,314.08 : x
  2. Step 2: Convert to fraction form
    377,855.28/566,861.76 = 200,314.08/x
  3. Step 3: Cross multiply
    377,855.28x = 566,861.76 × 200,314.08
  4. Step 4: Simplify right side
    377,855.28x = 113,550,391,941.58
  5. Step 5: Solve for x
    x = 113,550,391,941.58/377,855.28
  6. Step 6: Final answer
    x = 300,512.92

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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.