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Finding the Fourth Proportional to 305,416.63, 421,460.67 and 169,449.13

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Solution

The fourth proportional to 305,416.63, 421,460.67 and 169,449.13 is: 233,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416.63 : 421,460.67 = 169,449.13 : x
  2. Step 2: Convert to fraction form
    305,416.63/421,460.67 = 169,449.13/x
  3. Step 3: Cross multiply
    305,416.63x = 421,460.67 × 169,449.13
  4. Step 4: Simplify right side
    305,416.63x = 71,416,143,860.72
  5. Step 5: Solve for x
    x = 71,416,143,860.72/305,416.63
  6. Step 6: Final answer
    x = 233,831.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.