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Finding the Fourth Proportional to 567,239.44, 850,849.56 and 167,878

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Solution

The fourth proportional to 567,239.44, 850,849.56 and 167,878 is: 251,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,239.44 : 850,849.56 = 167,878 : x
  2. Step 2: Convert to fraction form
    567,239.44/850,849.56 = 167,878/x
  3. Step 3: Cross multiply
    567,239.44x = 850,849.56 × 167,878
  4. Step 4: Simplify right side
    567,239.44x = 142,838,922,433.68
  5. Step 5: Solve for x
    x = 142,838,922,433.68/567,239.44
  6. Step 6: Final answer
    x = 251,814.16

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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.