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Finding the Fourth Proportional to 411,310.40, 616,965.60 and 411,310.40

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Solution

The fourth proportional to 411,310.40, 616,965.60 and 411,310.40 is: 616,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,310.40 : 616,965.60 = 411,310.40 : x
  2. Step 2: Convert to fraction form
    411,310.40/616,965.60 = 411,310.40/x
  3. Step 3: Cross multiply
    411,310.40x = 616,965.60 × 411,310.40
  4. Step 4: Simplify right side
    411,310.40x = 253,764,367,722.24
  5. Step 5: Solve for x
    x = 253,764,367,722.24/411,310.40
  6. Step 6: Final answer
    x = 616,965.60

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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.