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Finding the Fourth Proportional to 411,734.40, 617,601.60 and 405,513.60

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Solution

The fourth proportional to 411,734.40, 617,601.60 and 405,513.60 is: 608,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734.40 : 617,601.60 = 405,513.60 : x
  2. Step 2: Convert to fraction form
    411,734.40/617,601.60 = 405,513.60/x
  3. Step 3: Cross multiply
    411,734.40x = 617,601.60 × 405,513.60
  4. Step 4: Simplify right side
    411,734.40x = 250,445,848,181.76
  5. Step 5: Solve for x
    x = 250,445,848,181.76/411,734.40
  6. Step 6: Final answer
    x = 608,270.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.