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Finding the Fourth Proportional to 296,764.56, 445,174.44 and 97,086.24

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Solution

The fourth proportional to 296,764.56, 445,174.44 and 97,086.24 is: 145,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,764.56 : 445,174.44 = 97,086.24 : x
  2. Step 2: Convert to fraction form
    296,764.56/445,174.44 = 97,086.24/x
  3. Step 3: Cross multiply
    296,764.56x = 445,174.44 × 97,086.24
  4. Step 4: Simplify right side
    296,764.56x = 43,220,312,523.71
  5. Step 5: Solve for x
    x = 43,220,312,523.71/296,764.56
  6. Step 6: Final answer
    x = 145,638.39

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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.