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Finding the Fourth Proportional to 302,658.48, 417,652.31 and 166,665.84

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Solution

The fourth proportional to 302,658.48, 417,652.31 and 166,665.84 is: 229,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,658.48 : 417,652.31 = 166,665.84 : x
  2. Step 2: Convert to fraction form
    302,658.48/417,652.31 = 166,665.84/x
  3. Step 3: Cross multiply
    302,658.48x = 417,652.31 × 166,665.84
  4. Step 4: Simplify right side
    302,658.48x = 69,608,372,240.76
  5. Step 5: Solve for x
    x = 69,608,372,240.76/302,658.48
  6. Step 6: Final answer
    x = 229,989.83

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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.