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Finding the Fourth Proportional to 378,241.32, 567,575.28 and 209,740.54

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Solution

The fourth proportional to 378,241.32, 567,575.28 and 209,740.54 is: 314,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,241.32 : 567,575.28 = 209,740.54 : x
  2. Step 2: Convert to fraction form
    378,241.32/567,575.28 = 209,740.54/x
  3. Step 3: Cross multiply
    378,241.32x = 567,575.28 × 209,740.54
  4. Step 4: Simplify right side
    378,241.32x = 119,043,545,717.85
  5. Step 5: Solve for x
    x = 119,043,545,717.85/378,241.32
  6. Step 6: Final answer
    x = 314,729.09

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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.