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Finding the Fourth Proportional to 298,378.89, 411,769.58 and 169,325.84

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Solution

The fourth proportional to 298,378.89, 411,769.58 and 169,325.84 is: 233,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.89 : 411,769.58 = 169,325.84 : x
  2. Step 2: Convert to fraction form
    298,378.89/411,769.58 = 169,325.84/x
  3. Step 3: Cross multiply
    298,378.89x = 411,769.58 × 169,325.84
  4. Step 4: Simplify right side
    298,378.89x = 69,723,230,202.74
  5. Step 5: Solve for x
    x = 69,723,230,202.74/298,378.89
  6. Step 6: Final answer
    x = 233,673.47

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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.