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Finding the Fourth Proportional to 282,429.12, 389,658.33 and 167,742.84

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Solution

The fourth proportional to 282,429.12, 389,658.33 and 167,742.84 is: 231,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,429.12 : 389,658.33 = 167,742.84 : x
  2. Step 2: Convert to fraction form
    282,429.12/389,658.33 = 167,742.84/x
  3. Step 3: Cross multiply
    282,429.12x = 389,658.33 × 167,742.84
  4. Step 4: Simplify right side
    282,429.12x = 65,362,394,903.86
  5. Step 5: Solve for x
    x = 65,362,394,903.86/282,429.12
  6. Step 6: Final answer
    x = 231,429.38

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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.