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Finding the Fourth Proportional to 453,023.28, 678,056.31 and 333,048.47

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Solution

The fourth proportional to 453,023.28, 678,056.31 and 333,048.47 is: 498,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,023.28 : 678,056.31 = 333,048.47 : x
  2. Step 2: Convert to fraction form
    453,023.28/678,056.31 = 333,048.47/x
  3. Step 3: Cross multiply
    453,023.28x = 678,056.31 × 333,048.47
  4. Step 4: Simplify right side
    453,023.28x = 225,825,613,229.06
  5. Step 5: Solve for x
    x = 225,825,613,229.06/453,023.28
  6. Step 6: Final answer
    x = 498,485.67

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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.