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Finding the Fourth Proportional to 427,289.41, 589,269.22 and 366,840.73

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Solution

The fourth proportional to 427,289.41, 589,269.22 and 366,840.73 is: 505,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,289.41 : 589,269.22 = 366,840.73 : x
  2. Step 2: Convert to fraction form
    427,289.41/589,269.22 = 366,840.73/x
  3. Step 3: Cross multiply
    427,289.41x = 589,269.22 × 366,840.73
  4. Step 4: Simplify right side
    427,289.41x = 216,167,950,831.33
  5. Step 5: Solve for x
    x = 216,167,950,831.33/427,289.41
  6. Step 6: Final answer
    x = 505,905.24

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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.