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Finding the Fourth Proportional to 306,956.94, 460,506.63 and 96,589.41

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Solution

The fourth proportional to 306,956.94, 460,506.63 and 96,589.41 is: 144,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,956.94 : 460,506.63 = 96,589.41 : x
  2. Step 2: Convert to fraction form
    306,956.94/460,506.63 = 96,589.41/x
  3. Step 3: Cross multiply
    306,956.94x = 460,506.63 × 96,589.41
  4. Step 4: Simplify right side
    306,956.94x = 44,480,063,692.79
  5. Step 5: Solve for x
    x = 44,480,063,692.79/306,956.94
  6. Step 6: Final answer
    x = 144,906.53

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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.