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Finding the Fourth Proportional to 294,002.64, 405,847.76 and 198,638.51

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Solution

The fourth proportional to 294,002.64, 405,847.76 and 198,638.51 is: 274,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,002.64 : 405,847.76 = 198,638.51 : x
  2. Step 2: Convert to fraction form
    294,002.64/405,847.76 = 198,638.51/x
  3. Step 3: Cross multiply
    294,002.64x = 405,847.76 × 198,638.51
  4. Step 4: Simplify right side
    294,002.64x = 80,616,991,310.81
  5. Step 5: Solve for x
    x = 80,616,991,310.81/294,002.64
  6. Step 6: Final answer
    x = 274,204.99

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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.