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Finding the Fourth Proportional to 338,644.64, 467,310.12 and 185,653.28

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Solution

The fourth proportional to 338,644.64, 467,310.12 and 185,653.28 is: 256,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,644.64 : 467,310.12 = 185,653.28 : x
  2. Step 2: Convert to fraction form
    338,644.64/467,310.12 = 185,653.28/x
  3. Step 3: Cross multiply
    338,644.64x = 467,310.12 × 185,653.28
  4. Step 4: Simplify right side
    338,644.64x = 86,757,656,555.19
  5. Step 5: Solve for x
    x = 86,757,656,555.19/338,644.64
  6. Step 6: Final answer
    x = 256,190.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.