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Finding the Fourth Proportional to 340,174.44, 509,532.66 and 276,693.24

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Solution

The fourth proportional to 340,174.44, 509,532.66 and 276,693.24 is: 414,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,174.44 : 509,532.66 = 276,693.24 : x
  2. Step 2: Convert to fraction form
    340,174.44/509,532.66 = 276,693.24/x
  3. Step 3: Cross multiply
    340,174.44x = 509,532.66 × 276,693.24
  4. Step 4: Simplify right side
    340,174.44x = 140,984,242,581.22
  5. Step 5: Solve for x
    x = 140,984,242,581.22/340,174.44
  6. Step 6: Final answer
    x = 414,446.90

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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.