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Finding the Fourth Proportional to 547,952.64, 821,786.40 and 232,247.04

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Solution

The fourth proportional to 547,952.64, 821,786.40 and 232,247.04 is: 348,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,952.64 : 821,786.40 = 232,247.04 : x
  2. Step 2: Convert to fraction form
    547,952.64/821,786.40 = 232,247.04/x
  3. Step 3: Cross multiply
    547,952.64x = 821,786.40 × 232,247.04
  4. Step 4: Simplify right side
    547,952.64x = 190,857,458,912.26
  5. Step 5: Solve for x
    x = 190,857,458,912.26/547,952.64
  6. Step 6: Final answer
    x = 348,310.14

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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.