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Finding the Fourth Proportional to 379,167.24, 523,224.45 and 209,388

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Solution

The fourth proportional to 379,167.24, 523,224.45 and 209,388 is: 288,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,167.24 : 523,224.45 = 209,388 : x
  2. Step 2: Convert to fraction form
    379,167.24/523,224.45 = 209,388/x
  3. Step 3: Cross multiply
    379,167.24x = 523,224.45 × 209,388
  4. Step 4: Simplify right side
    379,167.24x = 109,556,921,136.60
  5. Step 5: Solve for x
    x = 109,556,921,136.60/379,167.24
  6. Step 6: Final answer
    x = 288,940.89

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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.