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Finding the Fourth Proportional to 444,194, 613,002.35 and 242,990

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Solution

The fourth proportional to 444,194, 613,002.35 and 242,990 is: 335,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,194 : 613,002.35 = 242,990 : x
  2. Step 2: Convert to fraction form
    444,194/613,002.35 = 242,990/x
  3. Step 3: Cross multiply
    444,194x = 613,002.35 × 242,990
  4. Step 4: Simplify right side
    444,194x = 148,953,441,026.50
  5. Step 5: Solve for x
    x = 148,953,441,026.50/444,194
  6. Step 6: Final answer
    x = 335,334.20

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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.