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Finding the Fourth Proportional to 362,455.24, 543,758.22 and 109,749.88

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Solution

The fourth proportional to 362,455.24, 543,758.22 and 109,749.88 is: 164,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,455.24 : 543,758.22 = 109,749.88 : x
  2. Step 2: Convert to fraction form
    362,455.24/543,758.22 = 109,749.88/x
  3. Step 3: Cross multiply
    362,455.24x = 543,758.22 × 109,749.88
  4. Step 4: Simplify right side
    362,455.24x = 59,677,399,394.01
  5. Step 5: Solve for x
    x = 59,677,399,394.01/362,455.24
  6. Step 6: Final answer
    x = 164,647.64

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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.