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Finding the Fourth Proportional to 288,992.40, 433,564.20 and 111,505.20

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Solution

The fourth proportional to 288,992.40, 433,564.20 and 111,505.20 is: 167,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,992.40 : 433,564.20 = 111,505.20 : x
  2. Step 2: Convert to fraction form
    288,992.40/433,564.20 = 111,505.20/x
  3. Step 3: Cross multiply
    288,992.40x = 433,564.20 × 111,505.20
  4. Step 4: Simplify right side
    288,992.40x = 48,344,662,833.84
  5. Step 5: Solve for x
    x = 48,344,662,833.84/288,992.40
  6. Step 6: Final answer
    x = 167,286.97

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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.