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Finding the Fourth Proportional to 605,180.54, 907,508.10 and 205,713.92

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Solution

The fourth proportional to 605,180.54, 907,508.10 and 205,713.92 is: 308,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,180.54 : 907,508.10 = 205,713.92 : x
  2. Step 2: Convert to fraction form
    605,180.54/907,508.10 = 205,713.92/x
  3. Step 3: Cross multiply
    605,180.54x = 907,508.10 × 205,713.92
  4. Step 4: Simplify right side
    605,180.54x = 186,687,048,682.75
  5. Step 5: Solve for x
    x = 186,687,048,682.75/605,180.54
  6. Step 6: Final answer
    x = 308,481.58

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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.