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Finding the Fourth Proportional to 1,932,800.94, 2,899,197.77 and 512,745.39

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Solution

The fourth proportional to 1,932,800.94, 2,899,197.77 and 512,745.39 is: 769,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,800.94 : 2,899,197.77 = 512,745.39 : x
  2. Step 2: Convert to fraction form
    1,932,800.94/2,899,197.77 = 512,745.39/x
  3. Step 3: Cross multiply
    1,932,800.94x = 2,899,197.77 × 512,745.39
  4. Step 4: Simplify right side
    1,932,800.94x = 1,486,550,288,702.05
  5. Step 5: Solve for x
    x = 1,486,550,288,702.05/1,932,800.94
  6. Step 6: Final answer
    x = 769,117.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.