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Finding the Fourth Proportional to 432,453.12, 648,760.32 and 166,202.88

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Solution

The fourth proportional to 432,453.12, 648,760.32 and 166,202.88 is: 249,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,453.12 : 648,760.32 = 166,202.88 : x
  2. Step 2: Convert to fraction form
    432,453.12/648,760.32 = 166,202.88/x
  3. Step 3: Cross multiply
    432,453.12x = 648,760.32 × 166,202.88
  4. Step 4: Simplify right side
    432,453.12x = 107,825,833,613.72
  5. Step 5: Solve for x
    x = 107,825,833,613.72/432,453.12
  6. Step 6: Final answer
    x = 249,335.31

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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.