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Finding the Fourth Proportional to 505,969.08, 698,169.86 and 324,926.24

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Solution

The fourth proportional to 505,969.08, 698,169.86 and 324,926.24 is: 448,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,969.08 : 698,169.86 = 324,926.24 : x
  2. Step 2: Convert to fraction form
    505,969.08/698,169.86 = 324,926.24/x
  3. Step 3: Cross multiply
    505,969.08x = 698,169.86 × 324,926.24
  4. Step 4: Simplify right side
    505,969.08x = 226,853,702,680.26
  5. Step 5: Solve for x
    x = 226,853,702,680.26/505,969.08
  6. Step 6: Final answer
    x = 448,354.87

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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.