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Finding the Fourth Proportional to 298,638.40, 447,439.20 and 193,403.20

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Solution

The fourth proportional to 298,638.40, 447,439.20 and 193,403.20 is: 289,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,638.40 : 447,439.20 = 193,403.20 : x
  2. Step 2: Convert to fraction form
    298,638.40/447,439.20 = 193,403.20/x
  3. Step 3: Cross multiply
    298,638.40x = 447,439.20 × 193,403.20
  4. Step 4: Simplify right side
    298,638.40x = 86,536,173,085.44
  5. Step 5: Solve for x
    x = 86,536,173,085.44/298,638.40
  6. Step 6: Final answer
    x = 289,769.08

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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.