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Finding the Fourth Proportional to 354,610.89, 532,014.75 and 196,950.06

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Solution

The fourth proportional to 354,610.89, 532,014.75 and 196,950.06 is: 295,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,610.89 : 532,014.75 = 196,950.06 : x
  2. Step 2: Convert to fraction form
    354,610.89/532,014.75 = 196,950.06/x
  3. Step 3: Cross multiply
    354,610.89x = 532,014.75 × 196,950.06
  4. Step 4: Simplify right side
    354,610.89x = 104,780,336,933.39
  5. Step 5: Solve for x
    x = 104,780,336,933.39/354,610.89
  6. Step 6: Final answer
    x = 295,479.75

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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.