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Finding the Fourth Proportional to 412,672.44, 619,063.74 and 163,296.12

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Solution

The fourth proportional to 412,672.44, 619,063.74 and 163,296.12 is: 244,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,672.44 : 619,063.74 = 163,296.12 : x
  2. Step 2: Convert to fraction form
    412,672.44/619,063.74 = 163,296.12/x
  3. Step 3: Cross multiply
    412,672.44x = 619,063.74 × 163,296.12
  4. Step 4: Simplify right side
    412,672.44x = 101,090,706,774.69
  5. Step 5: Solve for x
    x = 101,090,706,774.69/412,672.44
  6. Step 6: Final answer
    x = 244,965.98

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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.