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Finding the Fourth Proportional to 512,207.99, 706,843.07 and 282,765.60

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Solution

The fourth proportional to 512,207.99, 706,843.07 and 282,765.60 is: 390,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207.99 : 706,843.07 = 282,765.60 : x
  2. Step 2: Convert to fraction form
    512,207.99/706,843.07 = 282,765.60/x
  3. Step 3: Cross multiply
    512,207.99x = 706,843.07 × 282,765.60
  4. Step 4: Simplify right side
    512,207.99x = 199,870,904,794.39
  5. Step 5: Solve for x
    x = 199,870,904,794.39/512,207.99
  6. Step 6: Final answer
    x = 390,214.34

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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.