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Finding the Fourth Proportional to 561,993.60, 842,698.80 and 206,824.80

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Solution

The fourth proportional to 561,993.60, 842,698.80 and 206,824.80 is: 310,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,993.60 : 842,698.80 = 206,824.80 : x
  2. Step 2: Convert to fraction form
    561,993.60/842,698.80 = 206,824.80/x
  3. Step 3: Cross multiply
    561,993.60x = 842,698.80 × 206,824.80
  4. Step 4: Simplify right side
    561,993.60x = 174,291,010,770.24
  5. Step 5: Solve for x
    x = 174,291,010,770.24/561,993.60
  6. Step 6: Final answer
    x = 310,129.89

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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.