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Finding the Fourth Proportional to 262,904.46, 394,396.65 and 96,679.50

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Solution

The fourth proportional to 262,904.46, 394,396.65 and 96,679.50 is: 145,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,904.46 : 394,396.65 = 96,679.50 : x
  2. Step 2: Convert to fraction form
    262,904.46/394,396.65 = 96,679.50/x
  3. Step 3: Cross multiply
    262,904.46x = 394,396.65 × 96,679.50
  4. Step 4: Simplify right side
    262,904.46x = 38,130,070,923.68
  5. Step 5: Solve for x
    x = 38,130,070,923.68/262,904.46
  6. Step 6: Final answer
    x = 145,033.94

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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.