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Finding the Fourth Proportional to 395,123.25, 545,269.95 and 213,835.08

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Solution

The fourth proportional to 395,123.25, 545,269.95 and 213,835.08 is: 295,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,123.25 : 545,269.95 = 213,835.08 : x
  2. Step 2: Convert to fraction form
    395,123.25/545,269.95 = 213,835.08/x
  3. Step 3: Cross multiply
    395,123.25x = 545,269.95 × 213,835.08
  4. Step 4: Simplify right side
    395,123.25x = 116,597,843,379.85
  5. Step 5: Solve for x
    x = 116,597,843,379.85/395,123.25
  6. Step 6: Final answer
    x = 295,092.34

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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.