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Finding the Fourth Proportional to 288,933.20, 433,270.20 and 111,381.20

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Solution

The fourth proportional to 288,933.20, 433,270.20 and 111,381.20 is: 167,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,933.20 : 433,270.20 = 111,381.20 : x
  2. Step 2: Convert to fraction form
    288,933.20/433,270.20 = 111,381.20/x
  3. Step 3: Cross multiply
    288,933.20x = 433,270.20 × 111,381.20
  4. Step 4: Simplify right side
    288,933.20x = 48,258,154,800.24
  5. Step 5: Solve for x
    x = 48,258,154,800.24/288,933.20
  6. Step 6: Final answer
    x = 167,021.84

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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.