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Finding the Fourth Proportional to 302,562.64, 417,546.48 and 166,606.66

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Solution

The fourth proportional to 302,562.64, 417,546.48 and 166,606.66 is: 229,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,562.64 : 417,546.48 = 166,606.66 : x
  2. Step 2: Convert to fraction form
    302,562.64/417,546.48 = 166,606.66/x
  3. Step 3: Cross multiply
    302,562.64x = 417,546.48 × 166,606.66
  4. Step 4: Simplify right side
    302,562.64x = 69,566,024,427.56
  5. Step 5: Solve for x
    x = 69,566,024,427.56/302,562.64
  6. Step 6: Final answer
    x = 229,922.72

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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.