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Finding the Fourth Proportional to 657,635.20, 984,703.20 and 419,689.60

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Solution

The fourth proportional to 657,635.20, 984,703.20 and 419,689.60 is: 628,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,635.20 : 984,703.20 = 419,689.60 : x
  2. Step 2: Convert to fraction form
    657,635.20/984,703.20 = 419,689.60/x
  3. Step 3: Cross multiply
    657,635.20x = 984,703.20 × 419,689.60
  4. Step 4: Simplify right side
    657,635.20x = 413,269,692,126.72
  5. Step 5: Solve for x
    x = 413,269,692,126.72/657,635.20
  6. Step 6: Final answer
    x = 628,417.84

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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.