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Finding the Fourth Proportional to 510,433.22, 765,649.84 and 136,446.50

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Solution

The fourth proportional to 510,433.22, 765,649.84 and 136,446.50 is: 204,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,433.22 : 765,649.84 = 136,446.50 : x
  2. Step 2: Convert to fraction form
    510,433.22/765,649.84 = 136,446.50/x
  3. Step 3: Cross multiply
    510,433.22x = 765,649.84 × 136,446.50
  4. Step 4: Simplify right side
    510,433.22x = 104,470,240,893.56
  5. Step 5: Solve for x
    x = 104,470,240,893.56/510,433.22
  6. Step 6: Final answer
    x = 204,669.75

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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.