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Finding the Fourth Proportional to 298,041.60, 446,908.80 and 110,956.80

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Solution

The fourth proportional to 298,041.60, 446,908.80 and 110,956.80 is: 166,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,041.60 : 446,908.80 = 110,956.80 : x
  2. Step 2: Convert to fraction form
    298,041.60/446,908.80 = 110,956.80/x
  3. Step 3: Cross multiply
    298,041.60x = 446,908.80 × 110,956.80
  4. Step 4: Simplify right side
    298,041.60x = 49,587,570,339.84
  5. Step 5: Solve for x
    x = 49,587,570,339.84/298,041.60
  6. Step 6: Final answer
    x = 166,378.02

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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.