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Finding the Fourth Proportional to 329,726.70, 494,593.70 and 105,085.35

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Solution

The fourth proportional to 329,726.70, 494,593.70 and 105,085.35 is: 157,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,726.70 : 494,593.70 = 105,085.35 : x
  2. Step 2: Convert to fraction form
    329,726.70/494,593.70 = 105,085.35/x
  3. Step 3: Cross multiply
    329,726.70x = 494,593.70 × 105,085.35
  4. Step 4: Simplify right side
    329,726.70x = 51,974,551,546.87
  5. Step 5: Solve for x
    x = 51,974,551,546.87/329,726.70
  6. Step 6: Final answer
    x = 157,629.19

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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.