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Finding the Fourth Proportional to 262,922.40, 394,383.60 and 242,647.20

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Solution

The fourth proportional to 262,922.40, 394,383.60 and 242,647.20 is: 363,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,922.40 : 394,383.60 = 242,647.20 : x
  2. Step 2: Convert to fraction form
    262,922.40/394,383.60 = 242,647.20/x
  3. Step 3: Cross multiply
    262,922.40x = 394,383.60 × 242,647.20
  4. Step 4: Simplify right side
    262,922.40x = 95,696,076,265.92
  5. Step 5: Solve for x
    x = 95,696,076,265.92/262,922.40
  6. Step 6: Final answer
    x = 363,970.80

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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.