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Finding the Fourth Proportional to 264,494.78, 396,617.10 and 102,464.72

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Solution

The fourth proportional to 264,494.78, 396,617.10 and 102,464.72 is: 153,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,494.78 : 396,617.10 = 102,464.72 : x
  2. Step 2: Convert to fraction form
    264,494.78/396,617.10 = 102,464.72/x
  3. Step 3: Cross multiply
    264,494.78x = 396,617.10 × 102,464.72
  4. Step 4: Simplify right side
    264,494.78x = 40,639,261,090.25
  5. Step 5: Solve for x
    x = 40,639,261,090.25/264,494.78
  6. Step 6: Final answer
    x = 153,648.63

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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.