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Finding the Fourth Proportional to 411,216.60, 617,213.70 and 253,752.60

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Solution

The fourth proportional to 411,216.60, 617,213.70 and 253,752.60 is: 380,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,216.60 : 617,213.70 = 253,752.60 : x
  2. Step 2: Convert to fraction form
    411,216.60/617,213.70 = 253,752.60/x
  3. Step 3: Cross multiply
    411,216.60x = 617,213.70 × 253,752.60
  4. Step 4: Simplify right side
    411,216.60x = 156,619,581,130.62
  5. Step 5: Solve for x
    x = 156,619,581,130.62/411,216.60
  6. Step 6: Final answer
    x = 380,868.82

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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.