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Finding the Fourth Proportional to 657,519.32, 986,268.24 and 208,239.50

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Solution

The fourth proportional to 657,519.32, 986,268.24 and 208,239.50 is: 312,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,519.32 : 986,268.24 = 208,239.50 : x
  2. Step 2: Convert to fraction form
    657,519.32/986,268.24 = 208,239.50/x
  3. Step 3: Cross multiply
    657,519.32x = 986,268.24 × 208,239.50
  4. Step 4: Simplify right side
    657,519.32x = 205,380,005,163.48
  5. Step 5: Solve for x
    x = 205,380,005,163.48/657,519.32
  6. Step 6: Final answer
    x = 312,355.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.