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Finding the Fourth Proportional to 562,021.20, 842,637.60 and 206,989.20

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Solution

The fourth proportional to 562,021.20, 842,637.60 and 206,989.20 is: 310,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,021.20 : 842,637.60 = 206,989.20 : x
  2. Step 2: Convert to fraction form
    562,021.20/842,637.60 = 206,989.20/x
  3. Step 3: Cross multiply
    562,021.20x = 842,637.60 × 206,989.20
  4. Step 4: Simplify right side
    562,021.20x = 174,416,882,713.92
  5. Step 5: Solve for x
    x = 174,416,882,713.92/562,021.20
  6. Step 6: Final answer
    x = 310,338.62

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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.