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Finding the Fourth Proportional to 298,676,274.06, 412,171,785.90 and 173,253,836.10

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Solution

The fourth proportional to 298,676,274.06, 412,171,785.90 and 173,253,836.10 is: 239,089,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,676,274.06 : 412,171,785.90 = 173,253,836.10 : x
  2. Step 2: Convert to fraction form
    298,676,274.06/412,171,785.90 = 173,253,836.10/x
  3. Step 3: Cross multiply
    298,676,274.06x = 412,171,785.90 × 173,253,836.10
  4. Step 4: Simplify right side
    298,676,274.06x = 71,410,343,039,362,888
  5. Step 5: Solve for x
    x = 71,410,343,039,362,888/298,676,274.06
  6. Step 6: Final answer
    x = 239,089,439.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.