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Finding the Fourth Proportional to 410,825.20, 616,324.20 and 233,186.80

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Solution

The fourth proportional to 410,825.20, 616,324.20 and 233,186.80 is: 349,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,825.20 : 616,324.20 = 233,186.80 : x
  2. Step 2: Convert to fraction form
    410,825.20/616,324.20 = 233,186.80/x
  3. Step 3: Cross multiply
    410,825.20x = 616,324.20 × 233,186.80
  4. Step 4: Simplify right side
    410,825.20x = 143,718,667,960.56
  5. Step 5: Solve for x
    x = 143,718,667,960.56/410,825.20
  6. Step 6: Final answer
    x = 349,829.24

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1.5x scale

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.