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Finding the Fourth Proportional to 450,474.48, 675,653.40 and 150,884.64

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Solution

The fourth proportional to 450,474.48, 675,653.40 and 150,884.64 is: 226,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,474.48 : 675,653.40 = 150,884.64 : x
  2. Step 2: Convert to fraction form
    450,474.48/675,653.40 = 150,884.64/x
  3. Step 3: Cross multiply
    450,474.48x = 675,653.40 × 150,884.64
  4. Step 4: Simplify right side
    450,474.48x = 101,945,720,023.78
  5. Step 5: Solve for x
    x = 101,945,720,023.78/450,474.48
  6. Step 6: Final answer
    x = 226,307.43

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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.