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Finding the Fourth Proportional to 322,056.80, 444,458.50 and 186,115.64

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Solution

The fourth proportional to 322,056.80, 444,458.50 and 186,115.64 is: 256,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,056.80 : 444,458.50 = 186,115.64 : x
  2. Step 2: Convert to fraction form
    322,056.80/444,458.50 = 186,115.64/x
  3. Step 3: Cross multiply
    322,056.80x = 444,458.50 × 186,115.64
  4. Step 4: Simplify right side
    322,056.80x = 82,720,678,826.80
  5. Step 5: Solve for x
    x = 82,720,678,826.80/322,056.80
  6. Step 6: Final answer
    x = 256,851.21

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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.