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Finding the Fourth Proportional to 411,438.20, 617,157.30 and 405,533.30

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Solution

The fourth proportional to 411,438.20, 617,157.30 and 405,533.30 is: 608,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,438.20 : 617,157.30 = 405,533.30 : x
  2. Step 2: Convert to fraction form
    411,438.20/617,157.30 = 405,533.30/x
  3. Step 3: Cross multiply
    411,438.20x = 617,157.30 × 405,533.30
  4. Step 4: Simplify right side
    411,438.20x = 250,277,836,488.09
  5. Step 5: Solve for x
    x = 250,277,836,488.09/411,438.20
  6. Step 6: Final answer
    x = 608,299.95

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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.