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Finding the Fourth Proportional to 562,103.48, 843,166.20 and 206,934.68

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Solution

The fourth proportional to 562,103.48, 843,166.20 and 206,934.68 is: 310,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,103.48 : 843,166.20 = 206,934.68 : x
  2. Step 2: Convert to fraction form
    562,103.48/843,166.20 = 206,934.68/x
  3. Step 3: Cross multiply
    562,103.48x = 843,166.20 × 206,934.68
  4. Step 4: Simplify right side
    562,103.48x = 174,480,327,783.82
  5. Step 5: Solve for x
    x = 174,480,327,783.82/562,103.48
  6. Step 6: Final answer
    x = 310,406.06

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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.