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Finding the Fourth Proportional to 532,754.64, 799,447.24 and 196,031.75

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Solution

The fourth proportional to 532,754.64, 799,447.24 and 196,031.75 is: 294,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,754.64 : 799,447.24 = 196,031.75 : x
  2. Step 2: Convert to fraction form
    532,754.64/799,447.24 = 196,031.75/x
  3. Step 3: Cross multiply
    532,754.64x = 799,447.24 × 196,031.75
  4. Step 4: Simplify right side
    532,754.64x = 156,717,041,489.87
  5. Step 5: Solve for x
    x = 156,717,041,489.87/532,754.64
  6. Step 6: Final answer
    x = 294,163.64

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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.