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Finding the Fourth Proportional to 444,312, 666,399.56 and 144,791.84

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Solution

The fourth proportional to 444,312, 666,399.56 and 144,791.84 is: 217,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,312 : 666,399.56 = 144,791.84 : x
  2. Step 2: Convert to fraction form
    444,312/666,399.56 = 144,791.84/x
  3. Step 3: Cross multiply
    444,312x = 666,399.56 × 144,791.84
  4. Step 4: Simplify right side
    444,312x = 96,489,218,467.59
  5. Step 5: Solve for x
    x = 96,489,218,467.59/444,312
  6. Step 6: Final answer
    x = 217,165.46

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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.