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Finding the Fourth Proportional to 294,382.80, 406,255.74 and 165,331.56

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Solution

The fourth proportional to 294,382.80, 406,255.74 and 165,331.56 is: 228,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,382.80 : 406,255.74 = 165,331.56 : x
  2. Step 2: Convert to fraction form
    294,382.80/406,255.74 = 165,331.56/x
  3. Step 3: Cross multiply
    294,382.80x = 406,255.74 × 165,331.56
  4. Step 4: Simplify right side
    294,382.80x = 67,166,895,253.15
  5. Step 5: Solve for x
    x = 67,166,895,253.15/294,382.80
  6. Step 6: Final answer
    x = 228,161.75

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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.