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Finding the Fourth Proportional to 330,028.50, 494,963.46 and 152,364.82

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Solution

The fourth proportional to 330,028.50, 494,963.46 and 152,364.82 is: 228,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,028.50 : 494,963.46 = 152,364.82 : x
  2. Step 2: Convert to fraction form
    330,028.50/494,963.46 = 152,364.82/x
  3. Step 3: Cross multiply
    330,028.50x = 494,963.46 × 152,364.82
  4. Step 4: Simplify right side
    330,028.50x = 75,415,018,489.48
  5. Step 5: Solve for x
    x = 75,415,018,489.48/330,028.50
  6. Step 6: Final answer
    x = 228,510.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.