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Finding the Fourth Proportional to 381,916.59, 527,046.39 and 209,848.50

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Solution

The fourth proportional to 381,916.59, 527,046.39 and 209,848.50 is: 289,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,916.59 : 527,046.39 = 209,848.50 : x
  2. Step 2: Convert to fraction form
    381,916.59/527,046.39 = 209,848.50/x
  3. Step 3: Cross multiply
    381,916.59x = 527,046.39 × 209,848.50
  4. Step 4: Simplify right side
    381,916.59x = 110,599,894,371.92
  5. Step 5: Solve for x
    x = 110,599,894,371.92/381,916.59
  6. Step 6: Final answer
    x = 289,591.75

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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.