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Finding the Fourth Proportional to 310,575.25, 428,418.38 and 195,656.60

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Solution

The fourth proportional to 310,575.25, 428,418.38 and 195,656.60 is: 269,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575.25 : 428,418.38 = 195,656.60 : x
  2. Step 2: Convert to fraction form
    310,575.25/428,418.38 = 195,656.60/x
  3. Step 3: Cross multiply
    310,575.25x = 428,418.38 × 195,656.60
  4. Step 4: Simplify right side
    310,575.25x = 83,822,883,608.31
  5. Step 5: Solve for x
    x = 83,822,883,608.31/310,575.25
  6. Step 6: Final answer
    x = 269,895.57

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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.