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Finding the Fourth Proportional to 301,735.44, 451,938.48 and 201,425.76

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Solution

The fourth proportional to 301,735.44, 451,938.48 and 201,425.76 is: 301,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,735.44 : 451,938.48 = 201,425.76 : x
  2. Step 2: Convert to fraction form
    301,735.44/451,938.48 = 201,425.76/x
  3. Step 3: Cross multiply
    301,735.44x = 451,938.48 × 201,425.76
  4. Step 4: Simplify right side
    301,735.44x = 91,032,051,807.24
  5. Step 5: Solve for x
    x = 91,032,051,807.24/301,735.44
  6. Step 6: Final answer
    x = 301,694.93

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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.