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Finding the Fourth Proportional to 294,082.90, 405,908.45 and 166,834.90

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Solution

The fourth proportional to 294,082.90, 405,908.45 and 166,834.90 is: 230,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,082.90 : 405,908.45 = 166,834.90 : x
  2. Step 2: Convert to fraction form
    294,082.90/405,908.45 = 166,834.90/x
  3. Step 3: Cross multiply
    294,082.90x = 405,908.45 × 166,834.90
  4. Step 4: Simplify right side
    294,082.90x = 67,719,695,664.91
  5. Step 5: Solve for x
    x = 67,719,695,664.91/294,082.90
  6. Step 6: Final answer
    x = 230,274.17

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1.5x scale

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.