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Finding the Fourth Proportional to 301,400.48, 451,824.24 and 135,097.76

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Solution

The fourth proportional to 301,400.48, 451,824.24 and 135,097.76 is: 202,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,400.48 : 451,824.24 = 135,097.76 : x
  2. Step 2: Convert to fraction form
    301,400.48/451,824.24 = 135,097.76/x
  3. Step 3: Cross multiply
    301,400.48x = 451,824.24 × 135,097.76
  4. Step 4: Simplify right side
    301,400.48x = 61,040,442,737.70
  5. Step 5: Solve for x
    x = 61,040,442,737.70/301,400.48
  6. Step 6: Final answer
    x = 202,522.71

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1.5x scale

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.