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Finding the Fourth Proportional to 380,351.87, 524,946.38 and 217,061.40

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Solution

The fourth proportional to 380,351.87, 524,946.38 and 217,061.40 is: 299,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,351.87 : 524,946.38 = 217,061.40 : x
  2. Step 2: Convert to fraction form
    380,351.87/524,946.38 = 217,061.40/x
  3. Step 3: Cross multiply
    380,351.87x = 524,946.38 × 217,061.40
  4. Step 4: Simplify right side
    380,351.87x = 113,945,595,082.43
  5. Step 5: Solve for x
    x = 113,945,595,082.43/380,351.87
  6. Step 6: Final answer
    x = 299,579.43

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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.