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Finding the Fourth Proportional to 411,680.60, 617,909.70 and 254,216.60

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Solution

The fourth proportional to 411,680.60, 617,909.70 and 254,216.60 is: 381,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,680.60 : 617,909.70 = 254,216.60 : x
  2. Step 2: Convert to fraction form
    411,680.60/617,909.70 = 254,216.60/x
  3. Step 3: Cross multiply
    411,680.60x = 617,909.70 × 254,216.60
  4. Step 4: Simplify right side
    411,680.60x = 157,082,903,041.02
  5. Step 5: Solve for x
    x = 157,082,903,041.02/411,680.60
  6. Step 6: Final answer
    x = 381,564.99

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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.