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Finding the Fourth Proportional to 295,858.31, 408,284.45 and 159,892.52

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Solution

The fourth proportional to 295,858.31, 408,284.45 and 159,892.52 is: 220,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,858.31 : 408,284.45 = 159,892.52 : x
  2. Step 2: Convert to fraction form
    295,858.31/408,284.45 = 159,892.52/x
  3. Step 3: Cross multiply
    295,858.31x = 408,284.45 × 159,892.52
  4. Step 4: Simplify right side
    295,858.31x = 65,281,627,346.03
  5. Step 5: Solve for x
    x = 65,281,627,346.03/295,858.31
  6. Step 6: Final answer
    x = 220,651.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.