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Finding the Fourth Proportional to 379,166.24, 523,223.06 and 209,387

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Solution

The fourth proportional to 379,166.24, 523,223.06 and 209,387 is: 288,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,166.24 : 523,223.06 = 209,387 : x
  2. Step 2: Convert to fraction form
    379,166.24/523,223.06 = 209,387/x
  3. Step 3: Cross multiply
    379,166.24x = 523,223.06 × 209,387
  4. Step 4: Simplify right side
    379,166.24x = 109,556,106,864.22
  5. Step 5: Solve for x
    x = 109,556,106,864.22/379,166.24
  6. Step 6: Final answer
    x = 288,939.51

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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.