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Finding the Fourth Proportional to 294,285.88, 406,115.08 and 166,936.84

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Solution

The fourth proportional to 294,285.88, 406,115.08 and 166,936.84 is: 230,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,285.88 : 406,115.08 = 166,936.84 : x
  2. Step 2: Convert to fraction form
    294,285.88/406,115.08 = 166,936.84/x
  3. Step 3: Cross multiply
    294,285.88x = 406,115.08 × 166,936.84
  4. Step 4: Simplify right side
    294,285.88x = 67,795,568,131.55
  5. Step 5: Solve for x
    x = 67,795,568,131.55/294,285.88
  6. Step 6: Final answer
    x = 230,373.16

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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.