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Finding the Fourth Proportional to 298,133.28, 411,421.92 and 169,096.32

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Solution

The fourth proportional to 298,133.28, 411,421.92 and 169,096.32 is: 233,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,133.28 : 411,421.92 = 169,096.32 : x
  2. Step 2: Convert to fraction form
    298,133.28/411,421.92 = 169,096.32/x
  3. Step 3: Cross multiply
    298,133.28x = 411,421.92 × 169,096.32
  4. Step 4: Simplify right side
    298,133.28x = 69,569,932,639.33
  5. Step 5: Solve for x
    x = 69,569,932,639.33/298,133.28
  6. Step 6: Final answer
    x = 233,351.78

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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.