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Finding the Fourth Proportional to 379,324.40, 523,478.25 and 209,569.46

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Solution

The fourth proportional to 379,324.40, 523,478.25 and 209,569.46 is: 289,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,324.40 : 523,478.25 = 209,569.46 : x
  2. Step 2: Convert to fraction form
    379,324.40/523,478.25 = 209,569.46/x
  3. Step 3: Cross multiply
    379,324.40x = 523,478.25 × 209,569.46
  4. Step 4: Simplify right side
    379,324.40x = 109,705,051,556.85
  5. Step 5: Solve for x
    x = 109,705,051,556.85/379,324.40
  6. Step 6: Final answer
    x = 289,211.70

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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.