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Finding the Fourth Proportional to 702,238.38, 969,082.07 and 379,941.41

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Solution

The fourth proportional to 702,238.38, 969,082.07 and 379,941.41 is: 524,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,238.38 : 969,082.07 = 379,941.41 : x
  2. Step 2: Convert to fraction form
    702,238.38/969,082.07 = 379,941.41/x
  3. Step 3: Cross multiply
    702,238.38x = 969,082.07 × 379,941.41
  4. Step 4: Simplify right side
    702,238.38x = 368,194,401,336.40
  5. Step 5: Solve for x
    x = 368,194,401,336.40/702,238.38
  6. Step 6: Final answer
    x = 524,315.41

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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.