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Finding the Fourth Proportional to 329,058.86, 493,486.22 and 118,669.46

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Solution

The fourth proportional to 329,058.86, 493,486.22 and 118,669.46 is: 177,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,058.86 : 493,486.22 = 118,669.46 : x
  2. Step 2: Convert to fraction form
    329,058.86/493,486.22 = 118,669.46/x
  3. Step 3: Cross multiply
    329,058.86x = 493,486.22 × 118,669.46
  4. Step 4: Simplify right side
    329,058.86x = 58,561,741,074.08
  5. Step 5: Solve for x
    x = 58,561,741,074.08/329,058.86
  6. Step 6: Final answer
    x = 177,967.38

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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.