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Finding the Fourth Proportional to 734,847, 1,102,271.31 and 291,615

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Solution

The fourth proportional to 734,847, 1,102,271.31 and 291,615 is: 437,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,847 : 1,102,271.31 = 291,615 : x
  2. Step 2: Convert to fraction form
    734,847/1,102,271.31 = 291,615/x
  3. Step 3: Cross multiply
    734,847x = 1,102,271.31 × 291,615
  4. Step 4: Simplify right side
    734,847x = 321,438,848,065.65
  5. Step 5: Solve for x
    x = 321,438,848,065.65/734,847
  6. Step 6: Final answer
    x = 437,422.82

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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.