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Finding the Fourth Proportional to 734,011, 1,101,201.46 and 208,699

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Solution

The fourth proportional to 734,011, 1,101,201.46 and 208,699 is: 313,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,011 : 1,101,201.46 = 208,699 : x
  2. Step 2: Convert to fraction form
    734,011/1,101,201.46 = 208,699/x
  3. Step 3: Cross multiply
    734,011x = 1,101,201.46 × 208,699
  4. Step 4: Simplify right side
    734,011x = 229,819,643,500.54
  5. Step 5: Solve for x
    x = 229,819,643,500.54/734,011
  6. Step 6: Final answer
    x = 313,101.09

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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.