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Finding the Fourth Proportional to 298,658.26, 447,981.72 and 74,019.16

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Solution

The fourth proportional to 298,658.26, 447,981.72 and 74,019.16 is: 111,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658.26 : 447,981.72 = 74,019.16 : x
  2. Step 2: Convert to fraction form
    298,658.26/447,981.72 = 74,019.16/x
  3. Step 3: Cross multiply
    298,658.26x = 447,981.72 × 74,019.16
  4. Step 4: Simplify right side
    298,658.26x = 33,159,230,609.76
  5. Step 5: Solve for x
    x = 33,159,230,609.76/298,658.26
  6. Step 6: Final answer
    x = 111,027.33

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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.