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Finding the Fourth Proportional to 414,235.74, 621,076.82 and 334,371.98

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Solution

The fourth proportional to 414,235.74, 621,076.82 and 334,371.98 is: 501,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,235.74 : 621,076.82 = 334,371.98 : x
  2. Step 2: Convert to fraction form
    414,235.74/621,076.82 = 334,371.98/x
  3. Step 3: Cross multiply
    414,235.74x = 621,076.82 × 334,371.98
  4. Step 4: Simplify right side
    414,235.74x = 207,670,686,035.50
  5. Step 5: Solve for x
    x = 207,670,686,035.50/414,235.74
  6. Step 6: Final answer
    x = 501,334.54

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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.