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Finding the Fourth Proportional to 298,523.83, 447,318.47 and 118,512.03

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Solution

The fourth proportional to 298,523.83, 447,318.47 and 118,512.03 is: 177,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,523.83 : 447,318.47 = 118,512.03 : x
  2. Step 2: Convert to fraction form
    298,523.83/447,318.47 = 118,512.03/x
  3. Step 3: Cross multiply
    298,523.83x = 447,318.47 × 118,512.03
  4. Step 4: Simplify right side
    298,523.83x = 53,012,622,418.67
  5. Step 5: Solve for x
    x = 53,012,622,418.67/298,523.83
  6. Step 6: Final answer
    x = 177,582.55

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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.