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Finding the Fourth Proportional to 395,262.85, 545,462.13 and 213,974.74

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Solution

The fourth proportional to 395,262.85, 545,462.13 and 213,974.74 is: 295,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,262.85 : 545,462.13 = 213,974.74 : x
  2. Step 2: Convert to fraction form
    395,262.85/545,462.13 = 213,974.74/x
  3. Step 3: Cross multiply
    395,262.85x = 545,462.13 × 213,974.74
  4. Step 4: Simplify right side
    395,262.85x = 116,715,117,446.60
  5. Step 5: Solve for x
    x = 116,715,117,446.60/395,262.85
  6. Step 6: Final answer
    x = 295,284.81

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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.