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Finding the Fourth Proportional to 517,761.12, 777,360.96 and 341,401.44

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Solution

The fourth proportional to 517,761.12, 777,360.96 and 341,401.44 is: 512,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,761.12 : 777,360.96 = 341,401.44 : x
  2. Step 2: Convert to fraction form
    517,761.12/777,360.96 = 341,401.44/x
  3. Step 3: Cross multiply
    517,761.12x = 777,360.96 × 341,401.44
  4. Step 4: Simplify right side
    517,761.12x = 265,392,151,143.78
  5. Step 5: Solve for x
    x = 265,392,151,143.78/517,761.12
  6. Step 6: Final answer
    x = 512,576.44

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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.