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Finding the Fourth Proportional to 377,381.56, 565,906.14 and 199,847.08

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Solution

The fourth proportional to 377,381.56, 565,906.14 and 199,847.08 is: 299,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,381.56 : 565,906.14 = 199,847.08 : x
  2. Step 2: Convert to fraction form
    377,381.56/565,906.14 = 199,847.08/x
  3. Step 3: Cross multiply
    377,381.56x = 565,906.14 × 199,847.08
  4. Step 4: Simplify right side
    377,381.56x = 113,094,689,633.07
  5. Step 5: Solve for x
    x = 113,094,689,633.07/377,381.56
  6. Step 6: Final answer
    x = 299,682.61

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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.