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Finding the Fourth Proportional to 512,001.36, 706,578.84 and 279,441

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Solution

The fourth proportional to 512,001.36, 706,578.84 and 279,441 is: 385,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,001.36 : 706,578.84 = 279,441 : x
  2. Step 2: Convert to fraction form
    512,001.36/706,578.84 = 279,441/x
  3. Step 3: Cross multiply
    512,001.36x = 706,578.84 × 279,441
  4. Step 4: Simplify right side
    512,001.36x = 197,447,097,628.44
  5. Step 5: Solve for x
    x = 197,447,097,628.44/512,001.36
  6. Step 6: Final answer
    x = 385,637.84

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