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Finding the Fourth Proportional to 466,456.41, 699,684.21 and 129,496.83

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Solution

The fourth proportional to 466,456.41, 699,684.21 and 129,496.83 is: 194,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,456.41 : 699,684.21 = 129,496.83 : x
  2. Step 2: Convert to fraction form
    466,456.41/699,684.21 = 129,496.83/x
  3. Step 3: Cross multiply
    466,456.41x = 699,684.21 × 129,496.83
  4. Step 4: Simplify right side
    466,456.41x = 90,606,887,196.05
  5. Step 5: Solve for x
    x = 90,606,887,196.05/466,456.41
  6. Step 6: Final answer
    x = 194,245.13

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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.