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Finding the Fourth Proportional to 285,984.48, 394,677.27 and 165,130.86

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Solution

The fourth proportional to 285,984.48, 394,677.27 and 165,130.86 is: 227,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984.48 : 394,677.27 = 165,130.86 : x
  2. Step 2: Convert to fraction form
    285,984.48/394,677.27 = 165,130.86/x
  3. Step 3: Cross multiply
    285,984.48x = 394,677.27 × 165,130.86
  4. Step 4: Simplify right side
    285,984.48x = 65,173,397,017.55
  5. Step 5: Solve for x
    x = 65,173,397,017.55/285,984.48
  6. Step 6: Final answer
    x = 227,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.