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Finding the Fourth Proportional to 459,831.69, 689,739.57 and 206,933.22

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Solution

The fourth proportional to 459,831.69, 689,739.57 and 206,933.22 is: 310,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,831.69 : 689,739.57 = 206,933.22 : x
  2. Step 2: Convert to fraction form
    459,831.69/689,739.57 = 206,933.22/x
  3. Step 3: Cross multiply
    459,831.69x = 689,739.57 × 206,933.22
  4. Step 4: Simplify right side
    459,831.69x = 142,730,030,181.52
  5. Step 5: Solve for x
    x = 142,730,030,181.52/459,831.69
  6. Step 6: Final answer
    x = 310,396.25

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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.