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Finding the Fourth Proportional to 471,349.56, 707,024.34 and 331,731.48

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Solution

The fourth proportional to 471,349.56, 707,024.34 and 331,731.48 is: 497,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,349.56 : 707,024.34 = 331,731.48 : x
  2. Step 2: Convert to fraction form
    471,349.56/707,024.34 = 331,731.48/x
  3. Step 3: Cross multiply
    471,349.56x = 707,024.34 × 331,731.48
  4. Step 4: Simplify right side
    471,349.56x = 234,542,230,704.22
  5. Step 5: Solve for x
    x = 234,542,230,704.22/471,349.56
  6. Step 6: Final answer
    x = 497,597.22

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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.