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Finding the Fourth Proportional to 411,647.03, 617,825.24 and 285,375.95

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Solution

The fourth proportional to 411,647.03, 617,825.24 and 285,375.95 is: 428,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,647.03 : 617,825.24 = 285,375.95 : x
  2. Step 2: Convert to fraction form
    411,647.03/617,825.24 = 285,375.95/x
  3. Step 3: Cross multiply
    411,647.03x = 617,825.24 × 285,375.95
  4. Step 4: Simplify right side
    411,647.03x = 176,312,465,308.32
  5. Step 5: Solve for x
    x = 176,312,465,308.32/411,647.03
  6. Step 6: Final answer
    x = 428,309.82

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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.