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Finding the Fourth Proportional to 512,740.26, 707,577.32 and 283,296.83

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Solution

The fourth proportional to 512,740.26, 707,577.32 and 283,296.83 is: 390,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,740.26 : 707,577.32 = 283,296.83 : x
  2. Step 2: Convert to fraction form
    512,740.26/707,577.32 = 283,296.83/x
  3. Step 3: Cross multiply
    512,740.26x = 707,577.32 × 283,296.83
  4. Step 4: Simplify right side
    512,740.26x = 200,454,408,906.25
  5. Step 5: Solve for x
    x = 200,454,408,906.25/512,740.26
  6. Step 6: Final answer
    x = 390,947.28

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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.