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Finding the Fourth Proportional to 415,352.40, 623,028.60 and 411,415.80

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Solution

The fourth proportional to 415,352.40, 623,028.60 and 411,415.80 is: 617,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,352.40 : 623,028.60 = 411,415.80 : x
  2. Step 2: Convert to fraction form
    415,352.40/623,028.60 = 411,415.80/x
  3. Step 3: Cross multiply
    415,352.40x = 623,028.60 × 411,415.80
  4. Step 4: Simplify right side
    415,352.40x = 256,323,809,891.88
  5. Step 5: Solve for x
    x = 256,323,809,891.88/415,352.40
  6. Step 6: Final answer
    x = 617,123.70

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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.