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Finding the Fourth Proportional to 562,029.20, 842,649.60 and 206,997.20

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Solution

The fourth proportional to 562,029.20, 842,649.60 and 206,997.20 is: 310,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,029.20 : 842,649.60 = 206,997.20 : x
  2. Step 2: Convert to fraction form
    562,029.20/842,649.60 = 206,997.20/x
  3. Step 3: Cross multiply
    562,029.20x = 842,649.60 × 206,997.20
  4. Step 4: Simplify right side
    562,029.20x = 174,426,107,781.12
  5. Step 5: Solve for x
    x = 174,426,107,781.12/562,029.20
  6. Step 6: Final answer
    x = 310,350.61

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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.