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Finding the Fourth Proportional to 305,613.33, 458,721.71 and 229,446.96

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Solution

The fourth proportional to 305,613.33, 458,721.71 and 229,446.96 is: 344,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,613.33 : 458,721.71 = 229,446.96 : x
  2. Step 2: Convert to fraction form
    305,613.33/458,721.71 = 229,446.96/x
  3. Step 3: Cross multiply
    305,613.33x = 458,721.71 × 229,446.96
  4. Step 4: Simplify right side
    305,613.33x = 105,252,300,698.27
  5. Step 5: Solve for x
    x = 105,252,300,698.27/305,613.33
  6. Step 6: Final answer
    x = 344,396.96

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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.