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Finding the Fourth Proportional to 311,737.14, 466,863.44 and 199,068.37

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Solution

The fourth proportional to 311,737.14, 466,863.44 and 199,068.37 is: 298,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,737.14 : 466,863.44 = 199,068.37 : x
  2. Step 2: Convert to fraction form
    311,737.14/466,863.44 = 199,068.37/x
  3. Step 3: Cross multiply
    311,737.14x = 466,863.44 × 199,068.37
  4. Step 4: Simplify right side
    311,737.14x = 92,937,742,830.68
  5. Step 5: Solve for x
    x = 92,937,742,830.68/311,737.14
  6. Step 6: Final answer
    x = 298,128.55

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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.