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Finding the Fourth Proportional to 298,988.52, 447,975.27 and 180,410.70

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Solution

The fourth proportional to 298,988.52, 447,975.27 and 180,410.70 is: 270,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,988.52 : 447,975.27 = 180,410.70 : x
  2. Step 2: Convert to fraction form
    298,988.52/447,975.27 = 180,410.70/x
  3. Step 3: Cross multiply
    298,988.52x = 447,975.27 × 180,410.70
  4. Step 4: Simplify right side
    298,988.52x = 80,819,532,043.39
  5. Step 5: Solve for x
    x = 80,819,532,043.39/298,988.52
  6. Step 6: Final answer
    x = 270,309.82

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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.