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Finding the Fourth Proportional to 512,137.32, 706,749.38 and 282,694.54

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Solution

The fourth proportional to 512,137.32, 706,749.38 and 282,694.54 is: 390,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,137.32 : 706,749.38 = 282,694.54 : x
  2. Step 2: Convert to fraction form
    512,137.32/706,749.38 = 282,694.54/x
  3. Step 3: Cross multiply
    512,137.32x = 706,749.38 × 282,694.54
  4. Step 4: Simplify right side
    512,137.32x = 199,794,190,874.39
  5. Step 5: Solve for x
    x = 199,794,190,874.39/512,137.32
  6. Step 6: Final answer
    x = 390,118.40

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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.