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Finding the Fourth Proportional to 379,599.04, 523,826.22 and 209,823.04

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Solution

The fourth proportional to 379,599.04, 523,826.22 and 209,823.04 is: 289,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,599.04 : 523,826.22 = 209,823.04 : x
  2. Step 2: Convert to fraction form
    379,599.04/523,826.22 = 209,823.04/x
  3. Step 3: Cross multiply
    379,599.04x = 523,826.22 × 209,823.04
  4. Step 4: Simplify right side
    379,599.04x = 109,910,809,912.11
  5. Step 5: Solve for x
    x = 109,910,809,912.11/379,599.04
  6. Step 6: Final answer
    x = 289,544.49

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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.