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Finding the Fourth Proportional to 414,174.81, 620,351.56 and 342,282.66

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Solution

The fourth proportional to 414,174.81, 620,351.56 and 342,282.66 is: 512,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,174.81 : 620,351.56 = 342,282.66 : x
  2. Step 2: Convert to fraction form
    414,174.81/620,351.56 = 342,282.66/x
  3. Step 3: Cross multiply
    414,174.81x = 620,351.56 × 342,282.66
  4. Step 4: Simplify right side
    414,174.81x = 212,335,582,091.95
  5. Step 5: Solve for x
    x = 212,335,582,091.95/414,174.81
  6. Step 6: Final answer
    x = 512,671.41

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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.