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Finding the Fourth Proportional to 429,650.72, 644,456.64 and 149,189.84

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Solution

The fourth proportional to 429,650.72, 644,456.64 and 149,189.84 is: 223,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,650.72 : 644,456.64 = 149,189.84 : x
  2. Step 2: Convert to fraction form
    429,650.72/644,456.64 = 149,189.84/x
  3. Step 3: Cross multiply
    429,650.72x = 644,456.64 × 149,189.84
  4. Step 4: Simplify right side
    429,650.72x = 96,146,383,008.54
  5. Step 5: Solve for x
    x = 96,146,383,008.54/429,650.72
  6. Step 6: Final answer
    x = 223,778.01

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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.