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Finding the Fourth Proportional to 294,082.40, 405,907.76 and 166,834.40

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Solution

The fourth proportional to 294,082.40, 405,907.76 and 166,834.40 is: 230,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,082.40 : 405,907.76 = 166,834.40 : x
  2. Step 2: Convert to fraction form
    294,082.40/405,907.76 = 166,834.40/x
  3. Step 3: Cross multiply
    294,082.40x = 405,907.76 × 166,834.40
  4. Step 4: Simplify right side
    294,082.40x = 67,719,377,594.94
  5. Step 5: Solve for x
    x = 67,719,377,594.94/294,082.40
  6. Step 6: Final answer
    x = 230,273.48

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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.