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Finding the Fourth Proportional to 686,138.30, 946,876.41 and 380,219.79

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Solution

The fourth proportional to 686,138.30, 946,876.41 and 380,219.79 is: 524,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,138.30 : 946,876.41 = 380,219.79 : x
  2. Step 2: Convert to fraction form
    686,138.30/946,876.41 = 380,219.79/x
  3. Step 3: Cross multiply
    686,138.30x = 946,876.41 × 380,219.79
  4. Step 4: Simplify right side
    686,138.30x = 360,021,145,031.77
  5. Step 5: Solve for x
    x = 360,021,145,031.77/686,138.30
  6. Step 6: Final answer
    x = 524,706.38

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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.