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Finding the Fourth Proportional to 306,054.20, 459,081.30 and 164,336.60

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Solution

The fourth proportional to 306,054.20, 459,081.30 and 164,336.60 is: 246,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,054.20 : 459,081.30 = 164,336.60 : x
  2. Step 2: Convert to fraction form
    306,054.20/459,081.30 = 164,336.60/x
  3. Step 3: Cross multiply
    306,054.20x = 459,081.30 × 164,336.60
  4. Step 4: Simplify right side
    306,054.20x = 75,443,859,965.58
  5. Step 5: Solve for x
    x = 75,443,859,965.58/306,054.20
  6. Step 6: Final answer
    x = 246,504.90

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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.