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Finding the Fourth Proportional to 362,810.22, 500,643.27 and 201,655.67

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Solution

The fourth proportional to 362,810.22, 500,643.27 and 201,655.67 is: 278,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,810.22 : 500,643.27 = 201,655.67 : x
  2. Step 2: Convert to fraction form
    362,810.22/500,643.27 = 201,655.67/x
  3. Step 3: Cross multiply
    362,810.22x = 500,643.27 × 201,655.67
  4. Step 4: Simplify right side
    362,810.22x = 100,957,551,539.63
  5. Step 5: Solve for x
    x = 100,957,551,539.63/362,810.22
  6. Step 6: Final answer
    x = 278,265.46

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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.