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Finding the Fourth Proportional to 330,010.25, 494,936.10 and 152,346.56

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Solution

The fourth proportional to 330,010.25, 494,936.10 and 152,346.56 is: 228,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,010.25 : 494,936.10 = 152,346.56 : x
  2. Step 2: Convert to fraction form
    330,010.25/494,936.10 = 152,346.56/x
  3. Step 3: Cross multiply
    330,010.25x = 494,936.10 × 152,346.56
  4. Step 4: Simplify right side
    330,010.25x = 75,401,809,780.14
  5. Step 5: Solve for x
    x = 75,401,809,780.14/330,010.25
  6. Step 6: Final answer
    x = 228,483.24

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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.