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Finding the Fourth Proportional to 285,985.40, 428,978.10 and 181,268.60

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Solution

The fourth proportional to 285,985.40, 428,978.10 and 181,268.60 is: 271,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,985.40 : 428,978.10 = 181,268.60 : x
  2. Step 2: Convert to fraction form
    285,985.40/428,978.10 = 181,268.60/x
  3. Step 3: Cross multiply
    285,985.40x = 428,978.10 × 181,268.60
  4. Step 4: Simplify right side
    285,985.40x = 77,760,259,617.66
  5. Step 5: Solve for x
    x = 77,760,259,617.66/285,985.40
  6. Step 6: Final answer
    x = 271,902.90

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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.