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Finding the Fourth Proportional to 519,414.30, 778,959.45 and 203,967.90

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Solution

The fourth proportional to 519,414.30, 778,959.45 and 203,967.90 is: 305,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,414.30 : 778,959.45 = 203,967.90 : x
  2. Step 2: Convert to fraction form
    519,414.30/778,959.45 = 203,967.90/x
  3. Step 3: Cross multiply
    519,414.30x = 778,959.45 × 203,967.90
  4. Step 4: Simplify right side
    519,414.30x = 158,882,723,201.66
  5. Step 5: Solve for x
    x = 158,882,723,201.66/519,414.30
  6. Step 6: Final answer
    x = 305,888.23

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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.