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Finding the Fourth Proportional to 470,969.94, 649,955.58 and 269,804.82

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Solution

The fourth proportional to 470,969.94, 649,955.58 and 269,804.82 is: 372,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.94 : 649,955.58 = 269,804.82 : x
  2. Step 2: Convert to fraction form
    470,969.94/649,955.58 = 269,804.82/x
  3. Step 3: Cross multiply
    470,969.94x = 649,955.58 × 269,804.82
  4. Step 4: Simplify right side
    470,969.94x = 175,361,148,269.90
  5. Step 5: Solve for x
    x = 175,361,148,269.90/470,969.94
  6. Step 6: Final answer
    x = 372,340.43

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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.