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Finding the Fourth Proportional to 306,784.89, 460,201.95 and 107,100.86

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Solution

The fourth proportional to 306,784.89, 460,201.95 and 107,100.86 is: 160,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,784.89 : 460,201.95 = 107,100.86 : x
  2. Step 2: Convert to fraction form
    306,784.89/460,201.95 = 107,100.86/x
  3. Step 3: Cross multiply
    306,784.89x = 460,201.95 × 107,100.86
  4. Step 4: Simplify right side
    306,784.89x = 49,288,022,317.67
  5. Step 5: Solve for x
    x = 49,288,022,317.67/306,784.89
  6. Step 6: Final answer
    x = 160,659.88

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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.