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Finding the Fourth Proportional to 294,222.87, 406,015.61 and 166,895.73

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Solution

The fourth proportional to 294,222.87, 406,015.61 and 166,895.73 is: 230,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,222.87 : 406,015.61 = 166,895.73 : x
  2. Step 2: Convert to fraction form
    294,222.87/406,015.61 = 166,895.73/x
  3. Step 3: Cross multiply
    294,222.87x = 406,015.61 × 166,895.73
  4. Step 4: Simplify right side
    294,222.87x = 67,762,270,787.87
  5. Step 5: Solve for x
    x = 67,762,270,787.87/294,222.87
  6. Step 6: Final answer
    x = 230,309.33

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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.