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Finding the Fourth Proportional to 432,792, 649,179.36 and 196,090.56

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Solution

The fourth proportional to 432,792, 649,179.36 and 196,090.56 is: 294,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,792 : 649,179.36 = 196,090.56 : x
  2. Step 2: Convert to fraction form
    432,792/649,179.36 = 196,090.56/x
  3. Step 3: Cross multiply
    432,792x = 649,179.36 × 196,090.56
  4. Step 4: Simplify right side
    432,792x = 127,297,944,242.84
  5. Step 5: Solve for x
    x = 127,297,944,242.84/432,792
  6. Step 6: Final answer
    x = 294,131.93

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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.