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Finding the Fourth Proportional to 302,545.89, 417,523.28 and 166,589.82

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Solution

The fourth proportional to 302,545.89, 417,523.28 and 166,589.82 is: 229,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,545.89 : 417,523.28 = 166,589.82 : x
  2. Step 2: Convert to fraction form
    302,545.89/417,523.28 = 166,589.82/x
  3. Step 3: Cross multiply
    302,545.89x = 417,523.28 × 166,589.82
  4. Step 4: Simplify right side
    302,545.89x = 69,555,127,228.06
  5. Step 5: Solve for x
    x = 69,555,127,228.06/302,545.89
  6. Step 6: Final answer
    x = 229,899.43

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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.