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Finding the Fourth Proportional to 433,012.37, 649,352.50 and 148,649.92

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Solution

The fourth proportional to 433,012.37, 649,352.50 and 148,649.92 is: 222,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,012.37 : 649,352.50 = 148,649.92 : x
  2. Step 2: Convert to fraction form
    433,012.37/649,352.50 = 148,649.92/x
  3. Step 3: Cross multiply
    433,012.37x = 649,352.50 × 148,649.92
  4. Step 4: Simplify right side
    433,012.37x = 96,526,195,181.79
  5. Step 5: Solve for x
    x = 96,526,195,181.79/433,012.37
  6. Step 6: Final answer
    x = 222,917.87

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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.