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Finding the Fourth Proportional to 551,429.60, 827,241.60 and 196,649.60

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Solution

The fourth proportional to 551,429.60, 827,241.60 and 196,649.60 is: 295,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,429.60 : 827,241.60 = 196,649.60 : x
  2. Step 2: Convert to fraction form
    551,429.60/827,241.60 = 196,649.60/x
  3. Step 3: Cross multiply
    551,429.60x = 827,241.60 × 196,649.60
  4. Step 4: Simplify right side
    551,429.60x = 162,676,729,743.36
  5. Step 5: Solve for x
    x = 162,676,729,743.36/551,429.60
  6. Step 6: Final answer
    x = 295,009.06

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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.