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Finding the Fourth Proportional to 329,869.84, 494,952.38 and 189,628.46

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Solution

The fourth proportional to 329,869.84, 494,952.38 and 189,628.46 is: 284,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,869.84 : 494,952.38 = 189,628.46 : x
  2. Step 2: Convert to fraction form
    329,869.84/494,952.38 = 189,628.46/x
  3. Step 3: Cross multiply
    329,869.84x = 494,952.38 × 189,628.46
  4. Step 4: Simplify right side
    329,869.84x = 93,857,057,592.73
  5. Step 5: Solve for x
    x = 93,857,057,592.73/329,869.84
  6. Step 6: Final answer
    x = 284,527.55

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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.