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Finding the Fourth Proportional to 264,947.64, 397,421.56 and 65,271.91

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Solution

The fourth proportional to 264,947.64, 397,421.56 and 65,271.91 is: 97,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,947.64 : 397,421.56 = 65,271.91 : x
  2. Step 2: Convert to fraction form
    264,947.64/397,421.56 = 65,271.91/x
  3. Step 3: Cross multiply
    264,947.64x = 397,421.56 × 65,271.91
  4. Step 4: Simplify right side
    264,947.64x = 25,940,462,309.27
  5. Step 5: Solve for x
    x = 25,940,462,309.27/264,947.64
  6. Step 6: Final answer
    x = 97,907.88

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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.