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Finding the Fourth Proportional to 329,870.84, 494,953.88 and 189,629.46

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Solution

The fourth proportional to 329,870.84, 494,953.88 and 189,629.46 is: 284,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,870.84 : 494,953.88 = 189,629.46 : x
  2. Step 2: Convert to fraction form
    329,870.84/494,953.88 = 189,629.46/x
  3. Step 3: Cross multiply
    329,870.84x = 494,953.88 × 189,629.46
  4. Step 4: Simplify right side
    329,870.84x = 93,857,836,989.30
  5. Step 5: Solve for x
    x = 93,857,836,989.30/329,870.84
  6. Step 6: Final answer
    x = 284,529.05

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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.