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Finding the Fourth Proportional to 362,658.16, 543,526.60 and 204,975.28

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Solution

The fourth proportional to 362,658.16, 543,526.60 and 204,975.28 is: 307,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,658.16 : 543,526.60 = 204,975.28 : x
  2. Step 2: Convert to fraction form
    362,658.16/543,526.60 = 204,975.28/x
  3. Step 3: Cross multiply
    362,658.16x = 543,526.60 × 204,975.28
  4. Step 4: Simplify right side
    362,658.16x = 111,409,517,022.45
  5. Step 5: Solve for x
    x = 111,409,517,022.45/362,658.16
  6. Step 6: Final answer
    x = 307,202.57

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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.