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Finding the Fourth Proportional to 518,536.50, 715,580.85 and 280,072.50

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Solution

The fourth proportional to 518,536.50, 715,580.85 and 280,072.50 is: 386,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,536.50 : 715,580.85 = 280,072.50 : x
  2. Step 2: Convert to fraction form
    518,536.50/715,580.85 = 280,072.50/x
  3. Step 3: Cross multiply
    518,536.50x = 715,580.85 × 280,072.50
  4. Step 4: Simplify right side
    518,536.50x = 200,414,517,611.63
  5. Step 5: Solve for x
    x = 200,414,517,611.63/518,536.50
  6. Step 6: Final answer
    x = 386,500.31

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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.