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Finding the Fourth Proportional to 294,520.47, 406,414.28 and 165,451.92

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Solution

The fourth proportional to 294,520.47, 406,414.28 and 165,451.92 is: 228,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,520.47 : 406,414.28 = 165,451.92 : x
  2. Step 2: Convert to fraction form
    294,520.47/406,414.28 = 165,451.92/x
  3. Step 3: Cross multiply
    294,520.47x = 406,414.28 × 165,451.92
  4. Step 4: Simplify right side
    294,520.47x = 67,242,022,114.16
  5. Step 5: Solve for x
    x = 67,242,022,114.16/294,520.47
  6. Step 6: Final answer
    x = 228,310.18

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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.