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Finding the Fourth Proportional to 302,289.39, 417,217.10 and 200,134.62

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Solution

The fourth proportional to 302,289.39, 417,217.10 and 200,134.62 is: 276,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,289.39 : 417,217.10 = 200,134.62 : x
  2. Step 2: Convert to fraction form
    302,289.39/417,217.10 = 200,134.62/x
  3. Step 3: Cross multiply
    302,289.39x = 417,217.10 × 200,134.62
  4. Step 4: Simplify right side
    302,289.39x = 83,499,584,765.33
  5. Step 5: Solve for x
    x = 83,499,584,765.33/302,289.39
  6. Step 6: Final answer
    x = 276,224.00

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