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Finding the Fourth Proportional to 377,384.56, 565,910.64 and 199,850.08

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Solution

The fourth proportional to 377,384.56, 565,910.64 and 199,850.08 is: 299,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,384.56 : 565,910.64 = 199,850.08 : x
  2. Step 2: Convert to fraction form
    377,384.56/565,910.64 = 199,850.08/x
  3. Step 3: Cross multiply
    377,384.56x = 565,910.64 × 199,850.08
  4. Step 4: Simplify right side
    377,384.56x = 113,097,286,676.85
  5. Step 5: Solve for x
    x = 113,097,286,676.85/377,384.56
  6. Step 6: Final answer
    x = 299,687.11

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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.