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Finding the Fourth Proportional to 395,143.32, 545,298.44 and 213,855.44

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Solution

The fourth proportional to 395,143.32, 545,298.44 and 213,855.44 is: 295,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,143.32 : 545,298.44 = 213,855.44 : x
  2. Step 2: Convert to fraction form
    395,143.32/545,298.44 = 213,855.44/x
  3. Step 3: Cross multiply
    395,143.32x = 545,298.44 × 213,855.44
  4. Step 4: Simplify right side
    395,143.32x = 116,615,037,817.51
  5. Step 5: Solve for x
    x = 116,615,037,817.51/395,143.32
  6. Step 6: Final answer
    x = 295,120.86

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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.