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Finding the Fourth Proportional to 329,863.16, 494,726.70 and 161,210.36

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Solution

The fourth proportional to 329,863.16, 494,726.70 and 161,210.36 is: 241,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,863.16 : 494,726.70 = 161,210.36 : x
  2. Step 2: Convert to fraction form
    329,863.16/494,726.70 = 161,210.36/x
  3. Step 3: Cross multiply
    329,863.16x = 494,726.70 × 161,210.36
  4. Step 4: Simplify right side
    329,863.16x = 79,755,069,408.61
  5. Step 5: Solve for x
    x = 79,755,069,408.61/329,863.16
  6. Step 6: Final answer
    x = 241,782.29

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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.