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Finding the Fourth Proportional to 288,984.51, 433,513.67 and 111,542.27

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Solution

The fourth proportional to 288,984.51, 433,513.67 and 111,542.27 is: 167,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,984.51 : 433,513.67 = 111,542.27 : x
  2. Step 2: Convert to fraction form
    288,984.51/433,513.67 = 111,542.27/x
  3. Step 3: Cross multiply
    288,984.51x = 433,513.67 × 111,542.27
  4. Step 4: Simplify right side
    288,984.51x = 48,355,096,729.98
  5. Step 5: Solve for x
    x = 48,355,096,729.98/288,984.51
  6. Step 6: Final answer
    x = 167,327.64

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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.