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Finding the Fourth Proportional to 329,991.94, 494,996.45 and 105,352.19

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Solution

The fourth proportional to 329,991.94, 494,996.45 and 105,352.19 is: 158,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,991.94 : 494,996.45 = 105,352.19 : x
  2. Step 2: Convert to fraction form
    329,991.94/494,996.45 = 105,352.19/x
  3. Step 3: Cross multiply
    329,991.94x = 494,996.45 × 105,352.19
  4. Step 4: Simplify right side
    329,991.94x = 52,148,957,838.12
  5. Step 5: Solve for x
    x = 52,148,957,838.12/329,991.94
  6. Step 6: Final answer
    x = 158,031.01

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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.