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Finding the Fourth Proportional to 632,893.41, 949,219.16 and 189,661.41

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Solution

The fourth proportional to 632,893.41, 949,219.16 and 189,661.41 is: 284,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,893.41 : 949,219.16 = 189,661.41 : x
  2. Step 2: Convert to fraction form
    632,893.41/949,219.16 = 189,661.41/x
  3. Step 3: Cross multiply
    632,893.41x = 949,219.16 × 189,661.41
  4. Step 4: Simplify right side
    632,893.41x = 180,030,243,336.31
  5. Step 5: Solve for x
    x = 180,030,243,336.31/632,893.41
  6. Step 6: Final answer
    x = 284,455.87

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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.