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Finding the Fourth Proportional to 517,996.50, 775,533.90 and 274,285.32

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Solution

The fourth proportional to 517,996.50, 775,533.90 and 274,285.32 is: 410,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,996.50 : 775,533.90 = 274,285.32 : x
  2. Step 2: Convert to fraction form
    517,996.50/775,533.90 = 274,285.32/x
  3. Step 3: Cross multiply
    517,996.50x = 775,533.90 × 274,285.32
  4. Step 4: Simplify right side
    517,996.50x = 212,717,563,932.35
  5. Step 5: Solve for x
    x = 212,717,563,932.35/517,996.50
  6. Step 6: Final answer
    x = 410,654.44

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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.