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Finding the Fourth Proportional to 551,806.20, 827,514.90 and 196,831.80

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Solution

The fourth proportional to 551,806.20, 827,514.90 and 196,831.80 is: 295,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,806.20 : 827,514.90 = 196,831.80 : x
  2. Step 2: Convert to fraction form
    551,806.20/827,514.90 = 196,831.80/x
  3. Step 3: Cross multiply
    551,806.20x = 827,514.90 × 196,831.80
  4. Step 4: Simplify right side
    551,806.20x = 162,881,247,293.82
  5. Step 5: Solve for x
    x = 162,881,247,293.82/551,806.20
  6. Step 6: Final answer
    x = 295,178.36

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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.