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Finding the Fourth Proportional to 294,309.37, 406,134.97 and 166,982.23

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Solution

The fourth proportional to 294,309.37, 406,134.97 and 166,982.23 is: 230,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,309.37 : 406,134.97 = 166,982.23 : x
  2. Step 2: Convert to fraction form
    294,309.37/406,134.97 = 166,982.23/x
  3. Step 3: Cross multiply
    294,309.37x = 406,134.97 × 166,982.23
  4. Step 4: Simplify right side
    294,309.37x = 67,817,322,971.58
  5. Step 5: Solve for x
    x = 67,817,322,971.58/294,309.37
  6. Step 6: Final answer
    x = 230,428.69

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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.