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Finding the Fourth Proportional to 305,613.73, 458,722.29 and 229,447.36

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Solution

The fourth proportional to 305,613.73, 458,722.29 and 229,447.36 is: 344,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,613.73 : 458,722.29 = 229,447.36 : x
  2. Step 2: Convert to fraction form
    305,613.73/458,722.29 = 229,447.36/x
  3. Step 3: Cross multiply
    305,613.73x = 458,722.29 × 229,447.36
  4. Step 4: Simplify right side
    305,613.73x = 105,252,616,120.04
  5. Step 5: Solve for x
    x = 105,252,616,120.04/305,613.73
  6. Step 6: Final answer
    x = 344,397.54

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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.