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Finding the Fourth Proportional to 444,238, 666,426.28 and 144,647.84

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Solution

The fourth proportional to 444,238, 666,426.28 and 144,647.84 is: 216,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,238 : 666,426.28 = 144,647.84 : x
  2. Step 2: Convert to fraction form
    444,238/666,426.28 = 144,647.84/x
  3. Step 3: Cross multiply
    444,238x = 666,426.28 × 144,647.84
  4. Step 4: Simplify right side
    444,238x = 96,397,121,921.24
  5. Step 5: Solve for x
    x = 96,397,121,921.24/444,238
  6. Step 6: Final answer
    x = 216,994.32

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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.