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Finding the Fourth Proportional to 298,416.84, 411,771.46 and 169,335.24

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Solution

The fourth proportional to 298,416.84, 411,771.46 and 169,335.24 is: 233,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416.84 : 411,771.46 = 169,335.24 : x
  2. Step 2: Convert to fraction form
    298,416.84/411,771.46 = 169,335.24/x
  3. Step 3: Cross multiply
    298,416.84x = 411,771.46 × 169,335.24
  4. Step 4: Simplify right side
    298,416.84x = 69,727,419,004.25
  5. Step 5: Solve for x
    x = 69,727,419,004.25/298,416.84
  6. Step 6: Final answer
    x = 233,657.79

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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.