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Finding the Fourth Proportional to 298,323.58, 447,470.79 and 111,320.50

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Solution

The fourth proportional to 298,323.58, 447,470.79 and 111,320.50 is: 166,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,323.58 : 447,470.79 = 111,320.50 : x
  2. Step 2: Convert to fraction form
    298,323.58/447,470.79 = 111,320.50/x
  3. Step 3: Cross multiply
    298,323.58x = 447,470.79 × 111,320.50
  4. Step 4: Simplify right side
    298,323.58x = 49,812,672,078.20
  5. Step 5: Solve for x
    x = 49,812,672,078.20/298,323.58
  6. Step 6: Final answer
    x = 166,975.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.