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Finding the Fourth Proportional to 281,674,137.60, 422,007,321.60 and 241,363,353.60

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Solution

The fourth proportional to 281,674,137.60, 422,007,321.60 and 241,363,353.60 is: 361,613,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,674,137.60 : 422,007,321.60 = 241,363,353.60 : x
  2. Step 2: Convert to fraction form
    281,674,137.60/422,007,321.60 = 241,363,353.60/x
  3. Step 3: Cross multiply
    281,674,137.60x = 422,007,321.60 × 241,363,353.60
  4. Step 4: Simplify right side
    281,674,137.60x = 101,857,102,385,129,728
  5. Step 5: Solve for x
    x = 101,857,102,385,129,728/281,674,137.60
  6. Step 6: Final answer
    x = 361,613,257.27

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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.