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Finding the Fourth Proportional to 230,854.82, 317,869.08 and 196,786.94

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Solution

The fourth proportional to 230,854.82, 317,869.08 and 196,786.94 is: 270,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854.82 : 317,869.08 = 196,786.94 : x
  2. Step 2: Convert to fraction form
    230,854.82/317,869.08 = 196,786.94/x
  3. Step 3: Cross multiply
    230,854.82x = 317,869.08 × 196,786.94
  4. Step 4: Simplify right side
    230,854.82x = 62,552,483,573.82
  5. Step 5: Solve for x
    x = 62,552,483,573.82/230,854.82
  6. Step 6: Final answer
    x = 270,960.27

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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.