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Finding the Fourth Proportional to 305,646.30, 458,469.45 and 179,347.05

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Solution

The fourth proportional to 305,646.30, 458,469.45 and 179,347.05 is: 269,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,646.30 : 458,469.45 = 179,347.05 : x
  2. Step 2: Convert to fraction form
    305,646.30/458,469.45 = 179,347.05/x
  3. Step 3: Cross multiply
    305,646.30x = 458,469.45 × 179,347.05
  4. Step 4: Simplify right side
    305,646.30x = 82,225,143,372.62
  5. Step 5: Solve for x
    x = 82,225,143,372.62/305,646.30
  6. Step 6: Final answer
    x = 269,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.