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Finding the Fourth Proportional to 518,601, 715,669.40 and 280,137

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Solution

The fourth proportional to 518,601, 715,669.40 and 280,137 is: 386,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,601 : 715,669.40 = 280,137 : x
  2. Step 2: Convert to fraction form
    518,601/715,669.40 = 280,137/x
  3. Step 3: Cross multiply
    518,601x = 715,669.40 × 280,137
  4. Step 4: Simplify right side
    518,601x = 200,485,478,707.80
  5. Step 5: Solve for x
    x = 200,485,478,707.80/518,601
  6. Step 6: Final answer
    x = 386,589.07

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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.