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Finding the Fourth Proportional to 322,382.55, 484,090.20 and 256,371.60

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Solution

The fourth proportional to 322,382.55, 484,090.20 and 256,371.60 is: 384,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,382.55 : 484,090.20 = 256,371.60 : x
  2. Step 2: Convert to fraction form
    322,382.55/484,090.20 = 256,371.60/x
  3. Step 3: Cross multiply
    322,382.55x = 484,090.20 × 256,371.60
  4. Step 4: Simplify right side
    322,382.55x = 124,106,979,118.32
  5. Step 5: Solve for x
    x = 124,106,979,118.32/322,382.55
  6. Step 6: Final answer
    x = 384,968.04

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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.