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Finding the Fourth Proportional to 298,047.40, 447,071.10 and 196,570.60

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Solution

The fourth proportional to 298,047.40, 447,071.10 and 196,570.60 is: 294,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.40 : 447,071.10 = 196,570.60 : x
  2. Step 2: Convert to fraction form
    298,047.40/447,071.10 = 196,570.60/x
  3. Step 3: Cross multiply
    298,047.40x = 447,071.10 × 196,570.60
  4. Step 4: Simplify right side
    298,047.40x = 87,881,034,369.66
  5. Step 5: Solve for x
    x = 87,881,034,369.66/298,047.40
  6. Step 6: Final answer
    x = 294,855.90

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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.