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Finding the Fourth Proportional to 547,651.70, 821,415.26 and 148,323.60

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Solution

The fourth proportional to 547,651.70, 821,415.26 and 148,323.60 is: 222,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,651.70 : 821,415.26 = 148,323.60 : x
  2. Step 2: Convert to fraction form
    547,651.70/821,415.26 = 148,323.60/x
  3. Step 3: Cross multiply
    547,651.70x = 821,415.26 × 148,323.60
  4. Step 4: Simplify right side
    547,651.70x = 121,835,268,458.14
  5. Step 5: Solve for x
    x = 121,835,268,458.14/547,651.70
  6. Step 6: Final answer
    x = 222,468.53

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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.