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Finding the Fourth Proportional to 652,314.50, 978,612.39 and 196,867.67

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Solution

The fourth proportional to 652,314.50, 978,612.39 and 196,867.67 is: 295,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,314.50 : 978,612.39 = 196,867.67 : x
  2. Step 2: Convert to fraction form
    652,314.50/978,612.39 = 196,867.67/x
  3. Step 3: Cross multiply
    652,314.50x = 978,612.39 × 196,867.67
  4. Step 4: Simplify right side
    652,314.50x = 192,657,145,586.98
  5. Step 5: Solve for x
    x = 192,657,145,586.98/652,314.50
  6. Step 6: Final answer
    x = 295,343.96

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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.