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Finding the Fourth Proportional to 264,252.64, 396,490.14 and 164,496.28

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Solution

The fourth proportional to 264,252.64, 396,490.14 and 164,496.28 is: 246,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,252.64 : 396,490.14 = 164,496.28 : x
  2. Step 2: Convert to fraction form
    264,252.64/396,490.14 = 164,496.28/x
  3. Step 3: Cross multiply
    264,252.64x = 396,490.14 × 164,496.28
  4. Step 4: Simplify right side
    264,252.64x = 65,221,153,086.68
  5. Step 5: Solve for x
    x = 65,221,153,086.68/264,252.64
  6. Step 6: Final answer
    x = 246,813.63

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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.