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Finding the Fourth Proportional to 294,408.73, 406,293.86 and 165,369.95

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Solution

The fourth proportional to 294,408.73, 406,293.86 and 165,369.95 is: 228,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408.73 : 406,293.86 = 165,369.95 : x
  2. Step 2: Convert to fraction form
    294,408.73/406,293.86 = 165,369.95/x
  3. Step 3: Cross multiply
    294,408.73x = 406,293.86 × 165,369.95
  4. Step 4: Simplify right side
    294,408.73x = 67,188,796,574.26
  5. Step 5: Solve for x
    x = 67,188,796,574.26/294,408.73
  6. Step 6: Final answer
    x = 228,216.05

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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.