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Finding the Fourth Proportional to 654,303.44, 981,662.52 and 233,570

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Solution

The fourth proportional to 654,303.44, 981,662.52 and 233,570 is: 350,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,303.44 : 981,662.52 = 233,570 : x
  2. Step 2: Convert to fraction form
    654,303.44/981,662.52 = 233,570/x
  3. Step 3: Cross multiply
    654,303.44x = 981,662.52 × 233,570
  4. Step 4: Simplify right side
    654,303.44x = 229,286,914,796.40
  5. Step 5: Solve for x
    x = 229,286,914,796.40/654,303.44
  6. Step 6: Final answer
    x = 350,429.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.