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Finding the Fourth Proportional to 294,035.16, 440,933.96 and 114,025.80

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Solution

The fourth proportional to 294,035.16, 440,933.96 and 114,025.80 is: 170,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,035.16 : 440,933.96 = 114,025.80 : x
  2. Step 2: Convert to fraction form
    294,035.16/440,933.96 = 114,025.80/x
  3. Step 3: Cross multiply
    294,035.16x = 440,933.96 × 114,025.80
  4. Step 4: Simplify right side
    294,035.16x = 50,277,847,536.17
  5. Step 5: Solve for x
    x = 50,277,847,536.17/294,035.16
  6. Step 6: Final answer
    x = 170,992.64

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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.