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Finding the Fourth Proportional to 380,082.70, 524,569.77 and 218,906.38

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Solution

The fourth proportional to 380,082.70, 524,569.77 and 218,906.38 is: 302,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,082.70 : 524,569.77 = 218,906.38 : x
  2. Step 2: Convert to fraction form
    380,082.70/524,569.77 = 218,906.38/x
  3. Step 3: Cross multiply
    380,082.70x = 524,569.77 × 218,906.38
  4. Step 4: Simplify right side
    380,082.70x = 114,831,669,408.13
  5. Step 5: Solve for x
    x = 114,831,669,408.13/380,082.70
  6. Step 6: Final answer
    x = 302,122.85

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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.