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Finding the Fourth Proportional to 565,333, 848,388.30 and 232,909

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Solution

The fourth proportional to 565,333, 848,388.30 and 232,909 is: 349,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,333 : 848,388.30 = 232,909 : x
  2. Step 2: Convert to fraction form
    565,333/848,388.30 = 232,909/x
  3. Step 3: Cross multiply
    565,333x = 848,388.30 × 232,909
  4. Step 4: Simplify right side
    565,333x = 197,597,270,564.70
  5. Step 5: Solve for x
    x = 197,597,270,564.70/565,333
  6. Step 6: Final answer
    x = 349,523.68

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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.