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Finding the Fourth Proportional to 657,523.32, 986,274.24 and 208,243.50

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Solution

The fourth proportional to 657,523.32, 986,274.24 and 208,243.50 is: 312,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,523.32 : 986,274.24 = 208,243.50 : x
  2. Step 2: Convert to fraction form
    657,523.32/986,274.24 = 208,243.50/x
  3. Step 3: Cross multiply
    657,523.32x = 986,274.24 × 208,243.50
  4. Step 4: Simplify right side
    657,523.32x = 205,385,199,697.44
  5. Step 5: Solve for x
    x = 205,385,199,697.44/657,523.32
  6. Step 6: Final answer
    x = 312,361.85

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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.