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Finding the Fourth Proportional to 301,324.60, 451,475.94 and 200,051.80

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Solution

The fourth proportional to 301,324.60, 451,475.94 and 200,051.80 is: 299,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,324.60 : 451,475.94 = 200,051.80 : x
  2. Step 2: Convert to fraction form
    301,324.60/451,475.94 = 200,051.80/x
  3. Step 3: Cross multiply
    301,324.60x = 451,475.94 × 200,051.80
  4. Step 4: Simplify right side
    301,324.60x = 90,318,574,453.69
  5. Step 5: Solve for x
    x = 90,318,574,453.69/301,324.60
  6. Step 6: Final answer
    x = 299,738.47

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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.