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Finding the Fourth Proportional to 433,376.33, 650,153.16 and 149,029.97

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Solution

The fourth proportional to 433,376.33, 650,153.16 and 149,029.97 is: 223,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,376.33 : 650,153.16 = 149,029.97 : x
  2. Step 2: Convert to fraction form
    433,376.33/650,153.16 = 149,029.97/x
  3. Step 3: Cross multiply
    433,376.33x = 650,153.16 × 149,029.97
  4. Step 4: Simplify right side
    433,376.33x = 96,892,302,679.44
  5. Step 5: Solve for x
    x = 96,892,302,679.44/433,376.33
  6. Step 6: Final answer
    x = 223,575.44

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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.