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Finding the Fourth Proportional to 302,348.61, 417,230.62 and 166,369.84

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Solution

The fourth proportional to 302,348.61, 417,230.62 and 166,369.84 is: 229,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,348.61 : 417,230.62 = 166,369.84 : x
  2. Step 2: Convert to fraction form
    302,348.61/417,230.62 = 166,369.84/x
  3. Step 3: Cross multiply
    302,348.61x = 417,230.62 × 166,369.84
  4. Step 4: Simplify right side
    302,348.61x = 69,414,590,660.65
  5. Step 5: Solve for x
    x = 69,414,590,660.65/302,348.61
  6. Step 6: Final answer
    x = 229,584.62

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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.