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Finding the Fourth Proportional to 332,406.96, 458,757.72 and 205,079.28

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Solution

The fourth proportional to 332,406.96, 458,757.72 and 205,079.28 is: 283,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,406.96 : 458,757.72 = 205,079.28 : x
  2. Step 2: Convert to fraction form
    332,406.96/458,757.72 = 205,079.28/x
  3. Step 3: Cross multiply
    332,406.96x = 458,757.72 × 205,079.28
  4. Step 4: Simplify right side
    332,406.96x = 94,081,702,912.04
  5. Step 5: Solve for x
    x = 94,081,702,912.04/332,406.96
  6. Step 6: Final answer
    x = 283,031.69

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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.