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Finding the Fourth Proportional to 414,234.75, 621,075.33 and 334,370.97

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Solution

The fourth proportional to 414,234.75, 621,075.33 and 334,370.97 is: 501,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,234.75 : 621,075.33 = 334,370.97 : x
  2. Step 2: Convert to fraction form
    414,234.75/621,075.33 = 334,370.97/x
  3. Step 3: Cross multiply
    414,234.75x = 621,075.33 × 334,370.97
  4. Step 4: Simplify right side
    414,234.75x = 207,669,560,535.17
  5. Step 5: Solve for x
    x = 207,669,560,535.17/414,234.75
  6. Step 6: Final answer
    x = 501,333.03

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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.