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Finding the Fourth Proportional to 505,234.26, 696,917.25 and 301,149.18

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Solution

The fourth proportional to 505,234.26, 696,917.25 and 301,149.18 is: 415,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,234.26 : 696,917.25 = 301,149.18 : x
  2. Step 2: Convert to fraction form
    505,234.26/696,917.25 = 301,149.18/x
  3. Step 3: Cross multiply
    505,234.26x = 696,917.25 × 301,149.18
  4. Step 4: Simplify right side
    505,234.26x = 209,876,058,365.36
  5. Step 5: Solve for x
    x = 209,876,058,365.36/505,234.26
  6. Step 6: Final answer
    x = 415,403.46

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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.