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Finding the Fourth Proportional to 291,224.67, 402,014.04 and 195,786.72

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Solution

The fourth proportional to 291,224.67, 402,014.04 and 195,786.72 is: 270,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224.67 : 402,014.04 = 195,786.72 : x
  2. Step 2: Convert to fraction form
    291,224.67/402,014.04 = 195,786.72/x
  3. Step 3: Cross multiply
    291,224.67x = 402,014.04 × 195,786.72
  4. Step 4: Simplify right side
    291,224.67x = 78,709,010,285.55
  5. Step 5: Solve for x
    x = 78,709,010,285.55/291,224.67
  6. Step 6: Final answer
    x = 270,269.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.