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Finding the Fourth Proportional to 403,674.30, 605,511.45 and 193,203.90

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Solution

The fourth proportional to 403,674.30, 605,511.45 and 193,203.90 is: 289,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,674.30 : 605,511.45 = 193,203.90 : x
  2. Step 2: Convert to fraction form
    403,674.30/605,511.45 = 193,203.90/x
  3. Step 3: Cross multiply
    403,674.30x = 605,511.45 × 193,203.90
  4. Step 4: Simplify right side
    403,674.30x = 116,987,173,634.66
  5. Step 5: Solve for x
    x = 116,987,173,634.66/403,674.30
  6. Step 6: Final answer
    x = 289,805.85

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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.