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Finding the Fourth Proportional to 500,513.16, 750,804.78 and 200,993.72

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Solution

The fourth proportional to 500,513.16, 750,804.78 and 200,993.72 is: 301,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,513.16 : 750,804.78 = 200,993.72 : x
  2. Step 2: Convert to fraction form
    500,513.16/750,804.78 = 200,993.72/x
  3. Step 3: Cross multiply
    500,513.16x = 750,804.78 × 200,993.72
  4. Step 4: Simplify right side
    500,513.16x = 150,907,045,725.98
  5. Step 5: Solve for x
    x = 150,907,045,725.98/500,513.16
  6. Step 6: Final answer
    x = 301,504.65

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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.