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Finding the Fourth Proportional to 411,067.44, 616,683.78 and 145,016.46

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Solution

The fourth proportional to 411,067.44, 616,683.78 and 145,016.46 is: 217,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,067.44 : 616,683.78 = 145,016.46 : x
  2. Step 2: Convert to fraction form
    411,067.44/616,683.78 = 145,016.46/x
  3. Step 3: Cross multiply
    411,067.44x = 616,683.78 × 145,016.46
  4. Step 4: Simplify right side
    411,067.44x = 89,429,298,715.02
  5. Step 5: Solve for x
    x = 89,429,298,715.02/411,067.44
  6. Step 6: Final answer
    x = 217,553.84

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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.