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Finding the Fourth Proportional to 343,105.96, 514,185.61 and 247,574.96

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Solution

The fourth proportional to 343,105.96, 514,185.61 and 247,574.96 is: 371,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,105.96 : 514,185.61 = 247,574.96 : x
  2. Step 2: Convert to fraction form
    343,105.96/514,185.61 = 247,574.96/x
  3. Step 3: Cross multiply
    343,105.96x = 514,185.61 × 247,574.96
  4. Step 4: Simplify right side
    343,105.96x = 127,299,479,236.56
  5. Step 5: Solve for x
    x = 127,299,479,236.56/343,105.96
  6. Step 6: Final answer
    x = 371,020.89

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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.