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Finding the Fourth Proportional to 405,910.08, 608,852.54 and 192,831.33

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Solution

The fourth proportional to 405,910.08, 608,852.54 and 192,831.33 is: 289,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,910.08 : 608,852.54 = 192,831.33 : x
  2. Step 2: Convert to fraction form
    405,910.08/608,852.54 = 192,831.33/x
  3. Step 3: Cross multiply
    405,910.08x = 608,852.54 × 192,831.33
  4. Step 4: Simplify right side
    405,910.08x = 117,405,844,097.92
  5. Step 5: Solve for x
    x = 117,405,844,097.92/405,910.08
  6. Step 6: Final answer
    x = 289,241.02

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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.