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Finding the Fourth Proportional to 317,224.20, 437,792.40 and 209,607.60

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Solution

The fourth proportional to 317,224.20, 437,792.40 and 209,607.60 is: 289,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,224.20 : 437,792.40 = 209,607.60 : x
  2. Step 2: Convert to fraction form
    317,224.20/437,792.40 = 209,607.60/x
  3. Step 3: Cross multiply
    317,224.20x = 437,792.40 × 209,607.60
  4. Step 4: Simplify right side
    317,224.20x = 91,764,614,262.24
  5. Step 5: Solve for x
    x = 91,764,614,262.24/317,224.20
  6. Step 6: Final answer
    x = 289,273.69

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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.