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Finding the Fourth Proportional to 298,474.41, 411,873.90 and 169,415.52

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Solution

The fourth proportional to 298,474.41, 411,873.90 and 169,415.52 is: 233,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,474.41 : 411,873.90 = 169,415.52 : x
  2. Step 2: Convert to fraction form
    298,474.41/411,873.90 = 169,415.52/x
  3. Step 3: Cross multiply
    298,474.41x = 411,873.90 × 169,415.52
  4. Step 4: Simplify right side
    298,474.41x = 69,777,830,942.93
  5. Step 5: Solve for x
    x = 69,777,830,942.93/298,474.41
  6. Step 6: Final answer
    x = 233,781.62

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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.