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Finding the Fourth Proportional to 382,005.81, 572,734.26 and 179,487.72

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Solution

The fourth proportional to 382,005.81, 572,734.26 and 179,487.72 is: 269,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,005.81 : 572,734.26 = 179,487.72 : x
  2. Step 2: Convert to fraction form
    382,005.81/572,734.26 = 179,487.72/x
  3. Step 3: Cross multiply
    382,005.81x = 572,734.26 × 179,487.72
  4. Step 4: Simplify right side
    382,005.81x = 102,798,766,493.29
  5. Step 5: Solve for x
    x = 102,798,766,493.29/382,005.81
  6. Step 6: Final answer
    x = 269,102.63

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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.