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Finding the Fourth Proportional to 322,538.16, 483,868.28 and 106,409.28

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Solution

The fourth proportional to 322,538.16, 483,868.28 and 106,409.28 is: 159,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,538.16 : 483,868.28 = 106,409.28 : x
  2. Step 2: Convert to fraction form
    322,538.16/483,868.28 = 106,409.28/x
  3. Step 3: Cross multiply
    322,538.16x = 483,868.28 × 106,409.28
  4. Step 4: Simplify right side
    322,538.16x = 51,488,075,289.64
  5. Step 5: Solve for x
    x = 51,488,075,289.64/322,538.16
  6. Step 6: Final answer
    x = 159,634.06

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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.