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Finding the Fourth Proportional to 362,012.36, 499,577.00 and 200,868.53

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Solution

The fourth proportional to 362,012.36, 499,577.00 and 200,868.53 is: 277,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,012.36 : 499,577.00 = 200,868.53 : x
  2. Step 2: Convert to fraction form
    362,012.36/499,577.00 = 200,868.53/x
  3. Step 3: Cross multiply
    362,012.36x = 499,577.00 × 200,868.53
  4. Step 4: Simplify right side
    362,012.36x = 100,349,294,109.58
  5. Step 5: Solve for x
    x = 100,349,294,109.58/362,012.36
  6. Step 6: Final answer
    x = 277,198.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.