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Finding the Fourth Proportional to 329,355.92, 494,695.20 and 196,495.76

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Solution

The fourth proportional to 329,355.92, 494,695.20 and 196,495.76 is: 295,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,355.92 : 494,695.20 = 196,495.76 : x
  2. Step 2: Convert to fraction form
    329,355.92/494,695.20 = 196,495.76/x
  3. Step 3: Cross multiply
    329,355.92x = 494,695.20 × 196,495.76
  4. Step 4: Simplify right side
    329,355.92x = 97,205,509,292.35
  5. Step 5: Solve for x
    x = 97,205,509,292.35/329,355.92
  6. Step 6: Final answer
    x = 295,138.19

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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.