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Finding the Fourth Proportional to 317,378.24, 437,920.80 and 204,185.60

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Solution

The fourth proportional to 317,378.24, 437,920.80 and 204,185.60 is: 281,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,378.24 : 437,920.80 = 204,185.60 : x
  2. Step 2: Convert to fraction form
    317,378.24/437,920.80 = 204,185.60/x
  3. Step 3: Cross multiply
    317,378.24x = 437,920.80 × 204,185.60
  4. Step 4: Simplify right side
    317,378.24x = 89,417,121,300.48
  5. Step 5: Solve for x
    x = 89,417,121,300.48/317,378.24
  6. Step 6: Final answer
    x = 281,736.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.