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Finding the Fourth Proportional to 518,441, 715,448.59 and 279,977

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Solution

The fourth proportional to 518,441, 715,448.59 and 279,977 is: 386,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,441 : 715,448.59 = 279,977 : x
  2. Step 2: Convert to fraction form
    518,441/715,448.59 = 279,977/x
  3. Step 3: Cross multiply
    518,441x = 715,448.59 × 279,977
  4. Step 4: Simplify right side
    518,441x = 200,309,149,882.43
  5. Step 5: Solve for x
    x = 200,309,149,882.43/518,441
  6. Step 6: Final answer
    x = 386,368.27

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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.