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Finding the Fourth Proportional to 298,319.34, 447,464.42 and 111,316.26

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Solution

The fourth proportional to 298,319.34, 447,464.42 and 111,316.26 is: 166,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,319.34 : 447,464.42 = 111,316.26 : x
  2. Step 2: Convert to fraction form
    298,319.34/447,464.42 = 111,316.26/x
  3. Step 3: Cross multiply
    298,319.34x = 447,464.42 × 111,316.26
  4. Step 4: Simplify right side
    298,319.34x = 49,810,065,717.47
  5. Step 5: Solve for x
    x = 49,810,065,717.47/298,319.34
  6. Step 6: Final answer
    x = 166,968.95

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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.