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Finding the Fourth Proportional to 379,212.17, 523,315.51 and 209,446.30

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Solution

The fourth proportional to 379,212.17, 523,315.51 and 209,446.30 is: 289,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,212.17 : 523,315.51 = 209,446.30 : x
  2. Step 2: Convert to fraction form
    379,212.17/523,315.51 = 209,446.30/x
  3. Step 3: Cross multiply
    379,212.17x = 523,315.51 × 209,446.30
  4. Step 4: Simplify right side
    379,212.17x = 109,606,495,470.21
  5. Step 5: Solve for x
    x = 109,606,495,470.21/379,212.17
  6. Step 6: Final answer
    x = 289,037.39

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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.