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Finding the Fourth Proportional to 315,059.82, 434,536.83 and 201,893.10

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Solution

The fourth proportional to 315,059.82, 434,536.83 and 201,893.10 is: 278,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,059.82 : 434,536.83 = 201,893.10 : x
  2. Step 2: Convert to fraction form
    315,059.82/434,536.83 = 201,893.10/x
  3. Step 3: Cross multiply
    315,059.82x = 434,536.83 × 201,893.10
  4. Step 4: Simplify right side
    315,059.82x = 87,729,987,672.87
  5. Step 5: Solve for x
    x = 87,729,987,672.87/315,059.82
  6. Step 6: Final answer
    x = 278,455.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.