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Finding the Fourth Proportional to 403,736.80, 605,605.20 and 193,266.40

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Solution

The fourth proportional to 403,736.80, 605,605.20 and 193,266.40 is: 289,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,736.80 : 605,605.20 = 193,266.40 : x
  2. Step 2: Convert to fraction form
    403,736.80/605,605.20 = 193,266.40/x
  3. Step 3: Cross multiply
    403,736.80x = 605,605.20 × 193,266.40
  4. Step 4: Simplify right side
    403,736.80x = 117,043,136,825.28
  5. Step 5: Solve for x
    x = 117,043,136,825.28/403,736.80
  6. Step 6: Final answer
    x = 289,899.60

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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.