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Finding the Fourth Proportional to 329,698.35, 494,542.16 and 105,055.75

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Solution

The fourth proportional to 329,698.35, 494,542.16 and 105,055.75 is: 157,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,698.35 : 494,542.16 = 105,055.75 : x
  2. Step 2: Convert to fraction form
    329,698.35/494,542.16 = 105,055.75/x
  3. Step 3: Cross multiply
    329,698.35x = 494,542.16 × 105,055.75
  4. Step 4: Simplify right side
    329,698.35x = 51,954,498,012.28
  5. Step 5: Solve for x
    x = 51,954,498,012.28/329,698.35
  6. Step 6: Final answer
    x = 157,581.92

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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.