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Finding the Fourth Proportional to 302,906.66, 417,765.80 and 266,529.56

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Solution

The fourth proportional to 302,906.66, 417,765.80 and 266,529.56 is: 367,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,906.66 : 417,765.80 = 266,529.56 : x
  2. Step 2: Convert to fraction form
    302,906.66/417,765.80 = 266,529.56/x
  3. Step 3: Cross multiply
    302,906.66x = 417,765.80 × 266,529.56
  4. Step 4: Simplify right side
    302,906.66x = 111,346,933,434.54
  5. Step 5: Solve for x
    x = 111,346,933,434.54/302,906.66
  6. Step 6: Final answer
    x = 367,594.87

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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.