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Finding the Fourth Proportional to 297,287.27, 410,254.35 and 161,317.76

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Solution

The fourth proportional to 297,287.27, 410,254.35 and 161,317.76 is: 222,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,287.27 : 410,254.35 = 161,317.76 : x
  2. Step 2: Convert to fraction form
    297,287.27/410,254.35 = 161,317.76/x
  3. Step 3: Cross multiply
    297,287.27x = 410,254.35 × 161,317.76
  4. Step 4: Simplify right side
    297,287.27x = 66,181,312,772.26
  5. Step 5: Solve for x
    x = 66,181,312,772.26/297,287.27
  6. Step 6: Final answer
    x = 222,617.38

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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.