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Finding the Fourth Proportional to 294,223.94, 406,017.07 and 166,896.80

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Solution

The fourth proportional to 294,223.94, 406,017.07 and 166,896.80 is: 230,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,223.94 : 406,017.07 = 166,896.80 : x
  2. Step 2: Convert to fraction form
    294,223.94/406,017.07 = 166,896.80/x
  3. Step 3: Cross multiply
    294,223.94x = 406,017.07 × 166,896.80
  4. Step 4: Simplify right side
    294,223.94x = 67,762,947,698.29
  5. Step 5: Solve for x
    x = 67,762,947,698.29/294,223.94
  6. Step 6: Final answer
    x = 230,310.79

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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.