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Finding the Fourth Proportional to 411,618.40, 617,427.60 and 386,735.20

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Solution

The fourth proportional to 411,618.40, 617,427.60 and 386,735.20 is: 580,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,618.40 : 617,427.60 = 386,735.20 : x
  2. Step 2: Convert to fraction form
    411,618.40/617,427.60 = 386,735.20/x
  3. Step 3: Cross multiply
    411,618.40x = 617,427.60 × 386,735.20
  4. Step 4: Simplify right side
    411,618.40x = 238,780,986,371.52
  5. Step 5: Solve for x
    x = 238,780,986,371.52/411,618.40
  6. Step 6: Final answer
    x = 580,102.80

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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.