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Finding the Fourth Proportional to 298,325.58, 447,473.76 and 111,322.50

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Solution

The fourth proportional to 298,325.58, 447,473.76 and 111,322.50 is: 166,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,325.58 : 447,473.76 = 111,322.50 : x
  2. Step 2: Convert to fraction form
    298,325.58/447,473.76 = 111,322.50/x
  3. Step 3: Cross multiply
    298,325.58x = 447,473.76 × 111,322.50
  4. Step 4: Simplify right side
    298,325.58x = 49,813,897,647.60
  5. Step 5: Solve for x
    x = 49,813,897,647.60/298,325.58
  6. Step 6: Final answer
    x = 166,978.30

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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.