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Finding the Fourth Proportional to 444,180, 612,978.24 and 242,976

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Solution

The fourth proportional to 444,180, 612,978.24 and 242,976 is: 335,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,180 : 612,978.24 = 242,976 : x
  2. Step 2: Convert to fraction form
    444,180/612,978.24 = 242,976/x
  3. Step 3: Cross multiply
    444,180x = 612,978.24 × 242,976
  4. Step 4: Simplify right side
    444,180x = 148,939,000,842.24
  5. Step 5: Solve for x
    x = 148,939,000,842.24/444,180
  6. Step 6: Final answer
    x = 335,312.26

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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.