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Finding the Fourth Proportional to 362,567.34, 543,935.66 and 109,849.77

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Solution

The fourth proportional to 362,567.34, 543,935.66 and 109,849.77 is: 164,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,567.34 : 543,935.66 = 109,849.77 : x
  2. Step 2: Convert to fraction form
    362,567.34/543,935.66 = 109,849.77/x
  3. Step 3: Cross multiply
    362,567.34x = 543,935.66 × 109,849.77
  4. Step 4: Simplify right side
    362,567.34x = 59,751,206,596.55
  5. Step 5: Solve for x
    x = 59,751,206,596.55/362,567.34
  6. Step 6: Final answer
    x = 164,800.30

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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.