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Finding the Fourth Proportional to 497,201.85, 745,910.78 and 181,658.25

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Solution

The fourth proportional to 497,201.85, 745,910.78 and 181,658.25 is: 272,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,201.85 : 745,910.78 = 181,658.25 : x
  2. Step 2: Convert to fraction form
    497,201.85/745,910.78 = 181,658.25/x
  3. Step 3: Cross multiply
    497,201.85x = 745,910.78 × 181,658.25
  4. Step 4: Simplify right side
    497,201.85x = 135,500,846,950.94
  5. Step 5: Solve for x
    x = 135,500,846,950.94/497,201.85
  6. Step 6: Final answer
    x = 272,526.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.