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Finding the Fourth Proportional to 304,812.45, 420,599.52 and 168,812.82

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Solution

The fourth proportional to 304,812.45, 420,599.52 and 168,812.82 is: 232,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,812.45 : 420,599.52 = 168,812.82 : x
  2. Step 2: Convert to fraction form
    304,812.45/420,599.52 = 168,812.82/x
  3. Step 3: Cross multiply
    304,812.45x = 420,599.52 × 168,812.82
  4. Step 4: Simplify right side
    304,812.45x = 71,002,591,061.85
  5. Step 5: Solve for x
    x = 71,002,591,061.85/304,812.45
  6. Step 6: Final answer
    x = 232,938.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.