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Finding the Fourth Proportional to 512,976.39, 707,905.94 and 286,622.07

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Solution

The fourth proportional to 512,976.39, 707,905.94 and 286,622.07 is: 395,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,976.39 : 707,905.94 = 286,622.07 : x
  2. Step 2: Convert to fraction form
    512,976.39/707,905.94 = 286,622.07/x
  3. Step 3: Cross multiply
    512,976.39x = 707,905.94 × 286,622.07
  4. Step 4: Simplify right side
    512,976.39x = 202,901,464,454.99
  5. Step 5: Solve for x
    x = 202,901,464,454.99/512,976.39
  6. Step 6: Final answer
    x = 395,537.63

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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.