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Finding the Fourth Proportional to 417,852.25, 627,027.44 and 151,633.54

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Solution

The fourth proportional to 417,852.25, 627,027.44 and 151,633.54 is: 227,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,852.25 : 627,027.44 = 151,633.54 : x
  2. Step 2: Convert to fraction form
    417,852.25/627,027.44 = 151,633.54/x
  3. Step 3: Cross multiply
    417,852.25x = 627,027.44 × 151,633.54
  4. Step 4: Simplify right side
    417,852.25x = 95,078,390,404.34
  5. Step 5: Solve for x
    x = 95,078,390,404.34/417,852.25
  6. Step 6: Final answer
    x = 227,540.69

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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.