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Finding the Fourth Proportional to 410,965.36, 616,202 and 170,789.68

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Solution

The fourth proportional to 410,965.36, 616,202 and 170,789.68 is: 256,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,965.36 : 616,202 = 170,789.68 : x
  2. Step 2: Convert to fraction form
    410,965.36/616,202 = 170,789.68/x
  3. Step 3: Cross multiply
    410,965.36x = 616,202 × 170,789.68
  4. Step 4: Simplify right side
    410,965.36x = 105,240,942,395.36
  5. Step 5: Solve for x
    x = 105,240,942,395.36/410,965.36
  6. Step 6: Final answer
    x = 256,082.27

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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.