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Finding the Fourth Proportional to 330,167.90, 494,923.80 and 152,364.80

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Solution

The fourth proportional to 330,167.90, 494,923.80 and 152,364.80 is: 228,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,167.90 : 494,923.80 = 152,364.80 : x
  2. Step 2: Convert to fraction form
    330,167.90/494,923.80 = 152,364.80/x
  3. Step 3: Cross multiply
    330,167.90x = 494,923.80 × 152,364.80
  4. Step 4: Simplify right side
    330,167.90x = 75,408,965,802.24
  5. Step 5: Solve for x
    x = 75,408,965,802.24/330,167.90
  6. Step 6: Final answer
    x = 228,395.81

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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.