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Finding the Fourth Proportional to 378,418.02, 566,493.63 and 364,959.66

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Solution

The fourth proportional to 378,418.02, 566,493.63 and 364,959.66 is: 546,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,418.02 : 566,493.63 = 364,959.66 : x
  2. Step 2: Convert to fraction form
    378,418.02/566,493.63 = 364,959.66/x
  3. Step 3: Cross multiply
    378,418.02x = 566,493.63 × 364,959.66
  4. Step 4: Simplify right side
    378,418.02x = 206,747,322,596.97
  5. Step 5: Solve for x
    x = 206,747,322,596.97/378,418.02
  6. Step 6: Final answer
    x = 546,346.40

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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.