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Finding the Fourth Proportional to 329,506.15, 493,694.91 and 179,851.45

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Solution

The fourth proportional to 329,506.15, 493,694.91 and 179,851.45 is: 269,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,506.15 : 493,694.91 = 179,851.45 : x
  2. Step 2: Convert to fraction form
    329,506.15/493,694.91 = 179,851.45/x
  3. Step 3: Cross multiply
    329,506.15x = 493,694.91 × 179,851.45
  4. Step 4: Simplify right side
    329,506.15x = 88,791,745,421.12
  5. Step 5: Solve for x
    x = 88,791,745,421.12/329,506.15
  6. Step 6: Final answer
    x = 269,469.16

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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.