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Finding the Fourth Proportional to 562,100.26, 843,161.28 and 206,931.46

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Solution

The fourth proportional to 562,100.26, 843,161.28 and 206,931.46 is: 310,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,100.26 : 843,161.28 = 206,931.46 : x
  2. Step 2: Convert to fraction form
    562,100.26/843,161.28 = 206,931.46/x
  3. Step 3: Cross multiply
    562,100.26x = 843,161.28 × 206,931.46
  4. Step 4: Simplify right side
    562,100.26x = 174,476,594,685.87
  5. Step 5: Solve for x
    x = 174,476,594,685.87/562,100.26
  6. Step 6: Final answer
    x = 310,401.20

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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.