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Finding the Fourth Proportional to 444,216, 666,393.24 and 144,625.86

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Solution

The fourth proportional to 444,216, 666,393.24 and 144,625.86 is: 216,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,216 : 666,393.24 = 144,625.86 : x
  2. Step 2: Convert to fraction form
    444,216/666,393.24 = 144,625.86/x
  3. Step 3: Cross multiply
    444,216x = 666,393.24 × 144,625.86
  4. Step 4: Simplify right side
    444,216x = 96,377,695,433.19
  5. Step 5: Solve for x
    x = 96,377,695,433.19/444,216
  6. Step 6: Final answer
    x = 216,961.33

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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.