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Finding the Fourth Proportional to 395,394.24, 545,682.96 and 225,653.76

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Solution

The fourth proportional to 395,394.24, 545,682.96 and 225,653.76 is: 311,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,394.24 : 545,682.96 = 225,653.76 : x
  2. Step 2: Convert to fraction form
    395,394.24/545,682.96 = 225,653.76/x
  3. Step 3: Cross multiply
    395,394.24x = 545,682.96 × 225,653.76
  4. Step 4: Simplify right side
    395,394.24x = 123,135,411,691.93
  5. Step 5: Solve for x
    x = 123,135,411,691.93/395,394.24
  6. Step 6: Final answer
    x = 311,424.39

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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.