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Finding the Fourth Proportional to 306,794.43, 460,302.39 and 107,144.28

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Solution

The fourth proportional to 306,794.43, 460,302.39 and 107,144.28 is: 160,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,794.43 : 460,302.39 = 107,144.28 : x
  2. Step 2: Convert to fraction form
    306,794.43/460,302.39 = 107,144.28/x
  3. Step 3: Cross multiply
    306,794.43x = 460,302.39 × 107,144.28
  4. Step 4: Simplify right side
    306,794.43x = 49,318,768,158.83
  5. Step 5: Solve for x
    x = 49,318,768,158.83/306,794.43
  6. Step 6: Final answer
    x = 160,755.10

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1.5x scale

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.