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Finding the Fourth Proportional to 395,109.23, 545,252.10 and 213,821.11

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Solution

The fourth proportional to 395,109.23, 545,252.10 and 213,821.11 is: 295,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,109.23 : 545,252.10 = 213,821.11 : x
  2. Step 2: Convert to fraction form
    395,109.23/545,252.10 = 213,821.11/x
  3. Step 3: Cross multiply
    395,109.23x = 545,252.10 × 213,821.11
  4. Step 4: Simplify right side
    395,109.23x = 116,586,409,251.83
  5. Step 5: Solve for x
    x = 116,586,409,251.83/395,109.23
  6. Step 6: Final answer
    x = 295,073.87

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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.