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Finding the Fourth Proportional to 288,791.46, 433,020.96 and 111,275.64

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Solution

The fourth proportional to 288,791.46, 433,020.96 and 111,275.64 is: 166,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,791.46 : 433,020.96 = 111,275.64 : x
  2. Step 2: Convert to fraction form
    288,791.46/433,020.96 = 111,275.64/x
  3. Step 3: Cross multiply
    288,791.46x = 433,020.96 × 111,275.64
  4. Step 4: Simplify right side
    288,791.46x = 48,184,684,457.41
  5. Step 5: Solve for x
    x = 48,184,684,457.41/288,791.46
  6. Step 6: Final answer
    x = 166,849.41

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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.