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Finding the Fourth Proportional to 343,012.44, 514,568.46 and 106,374.18

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Solution

The fourth proportional to 343,012.44, 514,568.46 and 106,374.18 is: 159,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,012.44 : 514,568.46 = 106,374.18 : x
  2. Step 2: Convert to fraction form
    343,012.44/514,568.46 = 106,374.18/x
  3. Step 3: Cross multiply
    343,012.44x = 514,568.46 × 106,374.18
  4. Step 4: Simplify right side
    343,012.44x = 54,736,797,986.36
  5. Step 5: Solve for x
    x = 54,736,797,986.36/343,012.44
  6. Step 6: Final answer
    x = 159,576.71

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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.