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Finding the Fourth Proportional to 281,201.70, 421,146.45 and 275,564.10

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Solution

The fourth proportional to 281,201.70, 421,146.45 and 275,564.10 is: 412,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,201.70 : 421,146.45 = 275,564.10 : x
  2. Step 2: Convert to fraction form
    281,201.70/421,146.45 = 275,564.10/x
  3. Step 3: Cross multiply
    281,201.70x = 421,146.45 × 275,564.10
  4. Step 4: Simplify right side
    281,201.70x = 116,052,842,462.45
  5. Step 5: Solve for x
    x = 116,052,842,462.45/281,201.70
  6. Step 6: Final answer
    x = 412,703.20

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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.