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Finding the Fourth Proportional to 298,263.76, 447,257.40 and 111,225.04

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Solution

The fourth proportional to 298,263.76, 447,257.40 and 111,225.04 is: 166,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263.76 : 447,257.40 = 111,225.04 : x
  2. Step 2: Convert to fraction form
    298,263.76/447,257.40 = 111,225.04/x
  3. Step 3: Cross multiply
    298,263.76x = 447,257.40 × 111,225.04
  4. Step 4: Simplify right side
    298,263.76x = 49,746,222,205.30
  5. Step 5: Solve for x
    x = 49,746,222,205.30/298,263.76
  6. Step 6: Final answer
    x = 166,786.01

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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.