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Finding the Fourth Proportional to 294,409.73, 406,295.24 and 165,370.95

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Solution

The fourth proportional to 294,409.73, 406,295.24 and 165,370.95 is: 228,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,409.73 : 406,295.24 = 165,370.95 : x
  2. Step 2: Convert to fraction form
    294,409.73/406,295.24 = 165,370.95/x
  3. Step 3: Cross multiply
    294,409.73x = 406,295.24 × 165,370.95
  4. Step 4: Simplify right side
    294,409.73x = 67,189,429,819.28
  5. Step 5: Solve for x
    x = 67,189,429,819.28/294,409.73
  6. Step 6: Final answer
    x = 228,217.42

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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.