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Finding the Fourth Proportional to 298,662.60, 447,988.14 and 74,023.50

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Solution

The fourth proportional to 298,662.60, 447,988.14 and 74,023.50 is: 111,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,662.60 : 447,988.14 = 74,023.50 : x
  2. Step 2: Convert to fraction form
    298,662.60/447,988.14 = 74,023.50/x
  3. Step 3: Cross multiply
    298,662.60x = 447,988.14 × 74,023.50
  4. Step 4: Simplify right side
    298,662.60x = 33,161,650,081.29
  5. Step 5: Solve for x
    x = 33,161,650,081.29/298,662.60
  6. Step 6: Final answer
    x = 111,033.82

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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.