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Finding the Fourth Proportional to 444,106, 612,866.28 and 242,902

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Solution

The fourth proportional to 444,106, 612,866.28 and 242,902 is: 335,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,106 : 612,866.28 = 242,902 : x
  2. Step 2: Convert to fraction form
    444,106/612,866.28 = 242,902/x
  3. Step 3: Cross multiply
    444,106x = 612,866.28 × 242,902
  4. Step 4: Simplify right side
    444,106x = 148,866,445,144.56
  5. Step 5: Solve for x
    x = 148,866,445,144.56/444,106
  6. Step 6: Final answer
    x = 335,204.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.