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Finding the Fourth Proportional to 301,591.37, 415,965.47 and 204,869.81

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Solution

The fourth proportional to 301,591.37, 415,965.47 and 204,869.81 is: 282,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,591.37 : 415,965.47 = 204,869.81 : x
  2. Step 2: Convert to fraction form
    301,591.37/415,965.47 = 204,869.81/x
  3. Step 3: Cross multiply
    301,591.37x = 415,965.47 × 204,869.81
  4. Step 4: Simplify right side
    301,591.37x = 85,218,763,701.28
  5. Step 5: Solve for x
    x = 85,218,763,701.28/301,591.37
  6. Step 6: Final answer
    x = 282,563.67

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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.