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Finding the Fourth Proportional to 298,298.08, 447,432.54 and 111,295

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Solution

The fourth proportional to 298,298.08, 447,432.54 and 111,295 is: 166,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,298.08 : 447,432.54 = 111,295 : x
  2. Step 2: Convert to fraction form
    298,298.08/447,432.54 = 111,295/x
  3. Step 3: Cross multiply
    298,298.08x = 447,432.54 × 111,295
  4. Step 4: Simplify right side
    298,298.08x = 49,797,004,539.30
  5. Step 5: Solve for x
    x = 49,797,004,539.30/298,298.08
  6. Step 6: Final answer
    x = 166,937.06

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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.