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Finding the Fourth Proportional to 298,389.85, 411,831.37 and 190,956.21

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Solution

The fourth proportional to 298,389.85, 411,831.37 and 190,956.21 is: 263,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,389.85 : 411,831.37 = 190,956.21 : x
  2. Step 2: Convert to fraction form
    298,389.85/411,831.37 = 190,956.21/x
  3. Step 3: Cross multiply
    298,389.85x = 411,831.37 × 190,956.21
  4. Step 4: Simplify right side
    298,389.85x = 78,641,757,574.31
  5. Step 5: Solve for x
    x = 78,641,757,574.31/298,389.85
  6. Step 6: Final answer
    x = 263,553.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.