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Finding the Fourth Proportional to 518,727, 715,843.26 and 280,263

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Solution

The fourth proportional to 518,727, 715,843.26 and 280,263 is: 386,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,727 : 715,843.26 = 280,263 : x
  2. Step 2: Convert to fraction form
    518,727/715,843.26 = 280,263/x
  3. Step 3: Cross multiply
    518,727x = 715,843.26 × 280,263
  4. Step 4: Simplify right side
    518,727x = 200,624,379,577.38
  5. Step 5: Solve for x
    x = 200,624,379,577.38/518,727
  6. Step 6: Final answer
    x = 386,762.94

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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.