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Finding the Fourth Proportional to 481,954.84, 722,765.50 and 197,564.64

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Solution

The fourth proportional to 481,954.84, 722,765.50 and 197,564.64 is: 296,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,954.84 : 722,765.50 = 197,564.64 : x
  2. Step 2: Convert to fraction form
    481,954.84/722,765.50 = 197,564.64/x
  3. Step 3: Cross multiply
    481,954.84x = 722,765.50 × 197,564.64
  4. Step 4: Simplify right side
    481,954.84x = 142,792,905,811.92
  5. Step 5: Solve for x
    x = 142,792,905,811.92/481,954.84
  6. Step 6: Final answer
    x = 296,278.60

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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.