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Finding the Fourth Proportional to 504,735.44, 757,073.56 and 189,166

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Solution

The fourth proportional to 504,735.44, 757,073.56 and 189,166 is: 283,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,735.44 : 757,073.56 = 189,166 : x
  2. Step 2: Convert to fraction form
    504,735.44/757,073.56 = 189,166/x
  3. Step 3: Cross multiply
    504,735.44x = 757,073.56 × 189,166
  4. Step 4: Simplify right side
    504,735.44x = 143,212,577,050.96
  5. Step 5: Solve for x
    x = 143,212,577,050.96/504,735.44
  6. Step 6: Final answer
    x = 283,737.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.