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Finding the Fourth Proportional to 562,099.26, 843,159.78 and 206,930.46

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Solution

The fourth proportional to 562,099.26, 843,159.78 and 206,930.46 is: 310,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,099.26 : 843,159.78 = 206,930.46 : x
  2. Step 2: Convert to fraction form
    562,099.26/843,159.78 = 206,930.46/x
  3. Step 3: Cross multiply
    562,099.26x = 843,159.78 × 206,930.46
  4. Step 4: Simplify right side
    562,099.26x = 174,475,441,128.90
  5. Step 5: Solve for x
    x = 174,475,441,128.90/562,099.26
  6. Step 6: Final answer
    x = 310,399.70

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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.