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Finding the Fourth Proportional to 512,110.35, 766,689.30 and 512,110.35

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Solution

The fourth proportional to 512,110.35, 766,689.30 and 512,110.35 is: 766,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,110.35 : 766,689.30 = 512,110.35 : x
  2. Step 2: Convert to fraction form
    512,110.35/766,689.30 = 512,110.35/x
  3. Step 3: Cross multiply
    512,110.35x = 766,689.30 × 512,110.35
  4. Step 4: Simplify right side
    512,110.35x = 392,629,525,764.26
  5. Step 5: Solve for x
    x = 392,629,525,764.26/512,110.35
  6. Step 6: Final answer
    x = 766,689.30

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