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Finding the Fourth Proportional to 510,974.34, 766,789.56 and 342,684.70

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Solution

The fourth proportional to 510,974.34, 766,789.56 and 342,684.70 is: 514,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,974.34 : 766,789.56 = 342,684.70 : x
  2. Step 2: Convert to fraction form
    510,974.34/766,789.56 = 342,684.70/x
  3. Step 3: Cross multiply
    510,974.34x = 766,789.56 × 342,684.70
  4. Step 4: Simplify right side
    510,974.34x = 262,767,050,331.73
  5. Step 5: Solve for x
    x = 262,767,050,331.73/510,974.34
  6. Step 6: Final answer
    x = 514,247.06

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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.