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Finding the Fourth Proportional to 330,008.75, 494,933.84 and 152,345.07

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Solution

The fourth proportional to 330,008.75, 494,933.84 and 152,345.07 is: 228,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,008.75 : 494,933.84 = 152,345.07 : x
  2. Step 2: Convert to fraction form
    330,008.75/494,933.84 = 152,345.07/x
  3. Step 3: Cross multiply
    330,008.75x = 494,933.84 × 152,345.07
  4. Step 4: Simplify right side
    330,008.75x = 75,400,729,738.44
  5. Step 5: Solve for x
    x = 75,400,729,738.44/330,008.75
  6. Step 6: Final answer
    x = 228,481.01

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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.