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Finding the Fourth Proportional to 432,630.60, 649,059.30 and 166,399.80

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Solution

The fourth proportional to 432,630.60, 649,059.30 and 166,399.80 is: 249,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,630.60 : 649,059.30 = 166,399.80 : x
  2. Step 2: Convert to fraction form
    432,630.60/649,059.30 = 166,399.80/x
  3. Step 3: Cross multiply
    432,630.60x = 649,059.30 × 166,399.80
  4. Step 4: Simplify right side
    432,630.60x = 108,003,337,708.14
  5. Step 5: Solve for x
    x = 108,003,337,708.14/432,630.60
  6. Step 6: Final answer
    x = 249,643.32

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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.