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Finding the Fourth Proportional to 330,022.62, 494,954.62 and 152,358.98

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Solution

The fourth proportional to 330,022.62, 494,954.62 and 152,358.98 is: 228,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,022.62 : 494,954.62 = 152,358.98 : x
  2. Step 2: Convert to fraction form
    330,022.62/494,954.62 = 152,358.98/x
  3. Step 3: Cross multiply
    330,022.62x = 494,954.62 × 152,358.98
  4. Step 4: Simplify right side
    330,022.62x = 75,410,778,193.82
  5. Step 5: Solve for x
    x = 75,410,778,193.82/330,022.62
  6. Step 6: Final answer
    x = 228,501.85

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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.