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Finding the Fourth Proportional to 419,998.38, 579,585.12 and 229,015.50

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Solution

The fourth proportional to 419,998.38, 579,585.12 and 229,015.50 is: 316,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,998.38 : 579,585.12 = 229,015.50 : x
  2. Step 2: Convert to fraction form
    419,998.38/579,585.12 = 229,015.50/x
  3. Step 3: Cross multiply
    419,998.38x = 579,585.12 × 229,015.50
  4. Step 4: Simplify right side
    419,998.38x = 132,733,976,049.36
  5. Step 5: Solve for x
    x = 132,733,976,049.36/419,998.38
  6. Step 6: Final answer
    x = 316,034.50

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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.