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Finding the Fourth Proportional to 305,431.86, 421,481.37 and 169,464.25

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Solution

The fourth proportional to 305,431.86, 421,481.37 and 169,464.25 is: 233,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,431.86 : 421,481.37 = 169,464.25 : x
  2. Step 2: Convert to fraction form
    305,431.86/421,481.37 = 169,464.25/x
  3. Step 3: Cross multiply
    305,431.86x = 421,481.37 × 169,464.25
  4. Step 4: Simplify right side
    305,431.86x = 71,426,025,418.37
  5. Step 5: Solve for x
    x = 71,426,025,418.37/305,431.86
  6. Step 6: Final answer
    x = 233,852.57

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1.5x scale

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.