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Finding the Fourth Proportional to 329,838.57, 494,863.00 and 147,441.26

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Solution

The fourth proportional to 329,838.57, 494,863.00 and 147,441.26 is: 221,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838.57 : 494,863.00 = 147,441.26 : x
  2. Step 2: Convert to fraction form
    329,838.57/494,863.00 = 147,441.26/x
  3. Step 3: Cross multiply
    329,838.57x = 494,863.00 × 147,441.26
  4. Step 4: Simplify right side
    329,838.57x = 72,963,225,115.93
  5. Step 5: Solve for x
    x = 72,963,225,115.93/329,838.57
  6. Step 6: Final answer
    x = 221,208.89

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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.