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Finding the Fourth Proportional to 527,936.10, 728,542.32 and 298,489.44

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Solution

The fourth proportional to 527,936.10, 728,542.32 and 298,489.44 is: 411,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,936.10 : 728,542.32 = 298,489.44 : x
  2. Step 2: Convert to fraction form
    527,936.10/728,542.32 = 298,489.44/x
  3. Step 3: Cross multiply
    527,936.10x = 728,542.32 × 298,489.44
  4. Step 4: Simplify right side
    527,936.10x = 217,462,189,113.10
  5. Step 5: Solve for x
    x = 217,462,189,113.10/527,936.10
  6. Step 6: Final answer
    x = 411,910.06

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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.