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Finding the Fourth Proportional to 681,954, 941,096.58 and 380,148

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Solution

The fourth proportional to 681,954, 941,096.58 and 380,148 is: 524,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,954 : 941,096.58 = 380,148 : x
  2. Step 2: Convert to fraction form
    681,954/941,096.58 = 380,148/x
  3. Step 3: Cross multiply
    681,954x = 941,096.58 × 380,148
  4. Step 4: Simplify right side
    681,954x = 357,755,982,693.84
  5. Step 5: Solve for x
    x = 357,755,982,693.84/681,954
  6. Step 6: Final answer
    x = 524,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.