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Finding the Fourth Proportional to 330,167.40, 494,923.05 and 152,364.30

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Solution

The fourth proportional to 330,167.40, 494,923.05 and 152,364.30 is: 228,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,167.40 : 494,923.05 = 152,364.30 : x
  2. Step 2: Convert to fraction form
    330,167.40/494,923.05 = 152,364.30/x
  3. Step 3: Cross multiply
    330,167.40x = 494,923.05 × 152,364.30
  4. Step 4: Simplify right side
    330,167.40x = 75,408,604,067.12
  5. Step 5: Solve for x
    x = 75,408,604,067.12/330,167.40
  6. Step 6: Final answer
    x = 228,395.06

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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.