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Finding the Fourth Proportional to 461,745.28, 693,043.68 and 234,200.59

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Solution

The fourth proportional to 461,745.28, 693,043.68 and 234,200.59 is: 351,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,745.28 : 693,043.68 = 234,200.59 : x
  2. Step 2: Convert to fraction form
    461,745.28/693,043.68 = 234,200.59/x
  3. Step 3: Cross multiply
    461,745.28x = 693,043.68 × 234,200.59
  4. Step 4: Simplify right side
    461,745.28x = 162,311,238,751.77
  5. Step 5: Solve for x
    x = 162,311,238,751.77/461,745.28
  6. Step 6: Final answer
    x = 351,516.83

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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.