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Finding the Fourth Proportional to 297,224.44, 445,743.07 and 97,498.42

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Solution

The fourth proportional to 297,224.44, 445,743.07 and 97,498.42 is: 146,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,224.44 : 445,743.07 = 97,498.42 : x
  2. Step 2: Convert to fraction form
    297,224.44/445,743.07 = 97,498.42/x
  3. Step 3: Cross multiply
    297,224.44x = 445,743.07 × 97,498.42
  4. Step 4: Simplify right side
    297,224.44x = 43,459,243,692.85
  5. Step 5: Solve for x
    x = 43,459,243,692.85/297,224.44
  6. Step 6: Final answer
    x = 146,216.93

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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.