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Finding the Fourth Proportional to 362,735.01, 500,536.26 and 201,564.05

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Solution

The fourth proportional to 362,735.01, 500,536.26 and 201,564.05 is: 278,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,735.01 : 500,536.26 = 201,564.05 : x
  2. Step 2: Convert to fraction form
    362,735.01/500,536.26 = 201,564.05/x
  3. Step 3: Cross multiply
    362,735.01x = 500,536.26 × 201,564.05
  4. Step 4: Simplify right side
    362,735.01x = 100,890,113,234.77
  5. Step 5: Solve for x
    x = 100,890,113,234.77/362,735.01
  6. Step 6: Final answer
    x = 278,137.24

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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.