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Finding the Fourth Proportional to 199,470.40, 298,622.40 and 193,638.40

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Solution

The fourth proportional to 199,470.40, 298,622.40 and 193,638.40 is: 289,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,470.40 : 298,622.40 = 193,638.40 : x
  2. Step 2: Convert to fraction form
    199,470.40/298,622.40 = 193,638.40/x
  3. Step 3: Cross multiply
    199,470.40x = 298,622.40 × 193,638.40
  4. Step 4: Simplify right side
    199,470.40x = 57,824,763,740.16
  5. Step 5: Solve for x
    x = 57,824,763,740.16/199,470.40
  6. Step 6: Final answer
    x = 289,891.45

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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.