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Finding the Fourth Proportional to 297,094.38, 409,990.91 and 169,769.67

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Solution

The fourth proportional to 297,094.38, 409,990.91 and 169,769.67 is: 234,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,094.38 : 409,990.91 = 169,769.67 : x
  2. Step 2: Convert to fraction form
    297,094.38/409,990.91 = 169,769.67/x
  3. Step 3: Cross multiply
    297,094.38x = 409,990.91 × 169,769.67
  4. Step 4: Simplify right side
    297,094.38x = 69,604,021,493.70
  5. Step 5: Solve for x
    x = 69,604,021,493.70/297,094.38
  6. Step 6: Final answer
    x = 234,282.52

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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.