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Finding the Fourth Proportional to 230,343.06, 317,685.42 and 193,406.64

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Solution

The fourth proportional to 230,343.06, 317,685.42 and 193,406.64 is: 266,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,343.06 : 317,685.42 = 193,406.64 : x
  2. Step 2: Convert to fraction form
    230,343.06/317,685.42 = 193,406.64/x
  3. Step 3: Cross multiply
    230,343.06x = 317,685.42 × 193,406.64
  4. Step 4: Simplify right side
    230,343.06x = 61,442,469,659.19
  5. Step 5: Solve for x
    x = 61,442,469,659.19/230,343.06
  6. Step 6: Final answer
    x = 266,743.31

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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.