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Finding the Fourth Proportional to 395,113.14, 545,257.10 and 213,826.39

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Solution

The fourth proportional to 395,113.14, 545,257.10 and 213,826.39 is: 295,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,113.14 : 545,257.10 = 213,826.39 : x
  2. Step 2: Convert to fraction form
    395,113.14/545,257.10 = 213,826.39/x
  3. Step 3: Cross multiply
    395,113.14x = 545,257.10 × 213,826.39
  4. Step 4: Simplify right side
    395,113.14x = 116,590,353,519.45
  5. Step 5: Solve for x
    x = 116,590,353,519.45/395,113.14
  6. Step 6: Final answer
    x = 295,080.94

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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.