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Finding the Fourth Proportional to 298,596, 447,940.08 and 111,634.08

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Solution

The fourth proportional to 298,596, 447,940.08 and 111,634.08 is: 167,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,596 : 447,940.08 = 111,634.08 : x
  2. Step 2: Convert to fraction form
    298,596/447,940.08 = 111,634.08/x
  3. Step 3: Cross multiply
    298,596x = 447,940.08 × 111,634.08
  4. Step 4: Simplify right side
    298,596x = 50,005,378,725.93
  5. Step 5: Solve for x
    x = 50,005,378,725.93/298,596
  6. Step 6: Final answer
    x = 167,468.35

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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.