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Finding the Fourth Proportional to 288,927.80, 433,471.44 and 120,527.28

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Solution

The fourth proportional to 288,927.80, 433,471.44 and 120,527.28 is: 180,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,927.80 : 433,471.44 = 120,527.28 : x
  2. Step 2: Convert to fraction form
    288,927.80/433,471.44 = 120,527.28/x
  3. Step 3: Cross multiply
    288,927.80x = 433,471.44 × 120,527.28
  4. Step 4: Simplify right side
    288,927.80x = 52,245,133,620.88
  5. Step 5: Solve for x
    x = 52,245,133,620.88/288,927.80
  6. Step 6: Final answer
    x = 180,824.19

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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.