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Finding the Fourth Proportional to 264,646.56, 396,963.36 and 64,965.36

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Solution

The fourth proportional to 264,646.56, 396,963.36 and 64,965.36 is: 97,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,646.56 : 396,963.36 = 64,965.36 : x
  2. Step 2: Convert to fraction form
    264,646.56/396,963.36 = 64,965.36/x
  3. Step 3: Cross multiply
    264,646.56x = 396,963.36 × 64,965.36
  4. Step 4: Simplify right side
    264,646.56x = 25,788,867,589.21
  5. Step 5: Solve for x
    x = 25,788,867,589.21/264,646.56
  6. Step 6: Final answer
    x = 97,446.45

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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.