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Finding the Fourth Proportional to 382,039.74, 572,862.69 and 171,497.34

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Solution

The fourth proportional to 382,039.74, 572,862.69 and 171,497.34 is: 257,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.74 : 572,862.69 = 171,497.34 : x
  2. Step 2: Convert to fraction form
    382,039.74/572,862.69 = 171,497.34/x
  3. Step 3: Cross multiply
    382,039.74x = 572,862.69 × 171,497.34
  4. Step 4: Simplify right side
    382,039.74x = 98,244,427,520.24
  5. Step 5: Solve for x
    x = 98,244,427,520.24/382,039.74
  6. Step 6: Final answer
    x = 257,157.61

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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.