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Finding the Fourth Proportional to 338,175.60, 506,796.84 and 254,978.16

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Solution

The fourth proportional to 338,175.60, 506,796.84 and 254,978.16 is: 382,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,175.60 : 506,796.84 = 254,978.16 : x
  2. Step 2: Convert to fraction form
    338,175.60/506,796.84 = 254,978.16/x
  3. Step 3: Cross multiply
    338,175.60x = 506,796.84 × 254,978.16
  4. Step 4: Simplify right side
    338,175.60x = 129,222,125,757.01
  5. Step 5: Solve for x
    x = 129,222,125,757.01/338,175.60
  6. Step 6: Final answer
    x = 382,115.46

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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.