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Finding the Fourth Proportional to 505,843.52, 698,389.48 and 324,633.56

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Solution

The fourth proportional to 505,843.52, 698,389.48 and 324,633.56 is: 448,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,843.52 : 698,389.48 = 324,633.56 : x
  2. Step 2: Convert to fraction form
    505,843.52/698,389.48 = 324,633.56/x
  3. Step 3: Cross multiply
    505,843.52x = 698,389.48 × 324,633.56
  4. Step 4: Simplify right side
    505,843.52x = 226,720,663,158.95
  5. Step 5: Solve for x
    x = 226,720,663,158.95/505,843.52
  6. Step 6: Final answer
    x = 448,203.16

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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.