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Finding the Fourth Proportional to 322,890.24, 484,353.56 and 98,257.98

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Solution

The fourth proportional to 322,890.24, 484,353.56 and 98,257.98 is: 147,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,890.24 : 484,353.56 = 98,257.98 : x
  2. Step 2: Convert to fraction form
    322,890.24/484,353.56 = 98,257.98/x
  3. Step 3: Cross multiply
    322,890.24x = 484,353.56 × 98,257.98
  4. Step 4: Simplify right side
    322,890.24x = 47,591,599,498.35
  5. Step 5: Solve for x
    x = 47,591,599,498.35/322,890.24
  6. Step 6: Final answer
    x = 147,392.50

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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.