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Finding the Fourth Proportional to 562,103.70, 843,266.46 and 162,747.78

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Solution

The fourth proportional to 562,103.70, 843,266.46 and 162,747.78 is: 244,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,103.70 : 843,266.46 = 162,747.78 : x
  2. Step 2: Convert to fraction form
    562,103.70/843,266.46 = 162,747.78/x
  3. Step 3: Cross multiply
    562,103.70x = 843,266.46 × 162,747.78
  4. Step 4: Simplify right side
    562,103.70x = 137,239,744,313.46
  5. Step 5: Solve for x
    x = 137,239,744,313.46/562,103.70
  6. Step 6: Final answer
    x = 244,153.78

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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.