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Finding the Fourth Proportional to 330,809.46, 496,218.04 and 314,675.54

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Solution

The fourth proportional to 330,809.46, 496,218.04 and 314,675.54 is: 472,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,809.46 : 496,218.04 = 314,675.54 : x
  2. Step 2: Convert to fraction form
    330,809.46/496,218.04 = 314,675.54/x
  3. Step 3: Cross multiply
    330,809.46x = 496,218.04 × 314,675.54
  4. Step 4: Simplify right side
    330,809.46x = 156,147,679,694.74
  5. Step 5: Solve for x
    x = 156,147,679,694.74/330,809.46
  6. Step 6: Final answer
    x = 472,016.97

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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.