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Finding the Fourth Proportional to 412,159.24, 618,457.74 and 162,843.40

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Solution

The fourth proportional to 412,159.24, 618,457.74 and 162,843.40 is: 244,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,159.24 : 618,457.74 = 162,843.40 : x
  2. Step 2: Convert to fraction form
    412,159.24/618,457.74 = 162,843.40/x
  3. Step 3: Cross multiply
    412,159.24x = 618,457.74 × 162,843.40
  4. Step 4: Simplify right side
    412,159.24x = 100,711,761,137.92
  5. Step 5: Solve for x
    x = 100,711,761,137.92/412,159.24
  6. Step 6: Final answer
    x = 244,351.58

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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.