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Finding the Fourth Proportional to 395,115.38, 545,259.18 and 213,827.30

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Solution

The fourth proportional to 395,115.38, 545,259.18 and 213,827.30 is: 295,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,115.38 : 545,259.18 = 213,827.30 : x
  2. Step 2: Convert to fraction form
    395,115.38/545,259.18 = 213,827.30/x
  3. Step 3: Cross multiply
    395,115.38x = 545,259.18 × 213,827.30
  4. Step 4: Simplify right side
    395,115.38x = 116,591,298,259.61
  5. Step 5: Solve for x
    x = 116,591,298,259.61/395,115.38
  6. Step 6: Final answer
    x = 295,081.65

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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.