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Finding the Fourth Proportional to 416,620.48, 574,971.66 and 235,365.69

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Solution

The fourth proportional to 416,620.48, 574,971.66 and 235,365.69 is: 324,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,620.48 : 574,971.66 = 235,365.69 : x
  2. Step 2: Convert to fraction form
    416,620.48/574,971.66 = 235,365.69/x
  3. Step 3: Cross multiply
    416,620.48x = 574,971.66 × 235,365.69
  4. Step 4: Simplify right side
    416,620.48x = 135,328,601,486.35
  5. Step 5: Solve for x
    x = 135,328,601,486.35/416,620.48
  6. Step 6: Final answer
    x = 324,824.65

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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.