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Finding the Fourth Proportional to 294,447.45, 406,306.97 and 165,400.41

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Solution

The fourth proportional to 294,447.45, 406,306.97 and 165,400.41 is: 228,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447.45 : 406,306.97 = 165,400.41 : x
  2. Step 2: Convert to fraction form
    294,447.45/406,306.97 = 165,400.41/x
  3. Step 3: Cross multiply
    294,447.45x = 406,306.97 × 165,400.41
  4. Step 4: Simplify right side
    294,447.45x = 67,203,338,596.86
  5. Step 5: Solve for x
    x = 67,203,338,596.86/294,447.45
  6. Step 6: Final answer
    x = 228,235.42

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