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Finding the Fourth Proportional to 298,651.47, 447,971.73 and 74,012.41

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Solution

The fourth proportional to 298,651.47, 447,971.73 and 74,012.41 is: 111,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,651.47 : 447,971.73 = 74,012.41 : x
  2. Step 2: Convert to fraction form
    298,651.47/447,971.73 = 74,012.41/x
  3. Step 3: Cross multiply
    298,651.47x = 447,971.73 × 74,012.41
  4. Step 4: Simplify right side
    298,651.47x = 33,155,467,349.17
  5. Step 5: Solve for x
    x = 33,155,467,349.17/298,651.47
  6. Step 6: Final answer
    x = 111,017.26

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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.