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Finding the Fourth Proportional to 567,321.14, 782,933.97 and 325,601.78

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Solution

The fourth proportional to 567,321.14, 782,933.97 and 325,601.78 is: 449,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,321.14 : 782,933.97 = 325,601.78 : x
  2. Step 2: Convert to fraction form
    567,321.14/782,933.97 = 325,601.78/x
  3. Step 3: Cross multiply
    567,321.14x = 782,933.97 × 325,601.78
  4. Step 4: Simplify right side
    567,321.14x = 254,924,694,254.47
  5. Step 5: Solve for x
    x = 254,924,694,254.47/567,321.14
  6. Step 6: Final answer
    x = 449,348.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.