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Finding the Fourth Proportional to 470,969.68, 649,955.25 and 269,804.56

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Solution

The fourth proportional to 470,969.68, 649,955.25 and 269,804.56 is: 372,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.68 : 649,955.25 = 269,804.56 : x
  2. Step 2: Convert to fraction form
    470,969.68/649,955.25 = 269,804.56/x
  3. Step 3: Cross multiply
    470,969.68x = 649,955.25 × 269,804.56
  4. Step 4: Simplify right side
    470,969.68x = 175,360,890,245.94
  5. Step 5: Solve for x
    x = 175,360,890,245.94/470,969.68
  6. Step 6: Final answer
    x = 372,340.08

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Why These Related Problems?

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