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Finding the Fourth Proportional to 413,704.13, 620,591.88 and 114,184.71

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Solution

The fourth proportional to 413,704.13, 620,591.88 and 114,184.71 is: 171,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,704.13 : 620,591.88 = 114,184.71 : x
  2. Step 2: Convert to fraction form
    413,704.13/620,591.88 = 114,184.71/x
  3. Step 3: Cross multiply
    413,704.13x = 620,591.88 × 114,184.71
  4. Step 4: Simplify right side
    413,704.13x = 70,862,103,846.15
  5. Step 5: Solve for x
    x = 70,862,103,846.15/413,704.13
  6. Step 6: Final answer
    x = 171,286.92

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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.