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Finding the Fourth Proportional to 357,105.49, 492,804.19 and 195,963.28

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Solution

The fourth proportional to 357,105.49, 492,804.19 and 195,963.28 is: 270,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,105.49 : 492,804.19 = 195,963.28 : x
  2. Step 2: Convert to fraction form
    357,105.49/492,804.19 = 195,963.28/x
  3. Step 3: Cross multiply
    357,105.49x = 492,804.19 × 195,963.28
  4. Step 4: Simplify right side
    357,105.49x = 96,571,525,470.14
  5. Step 5: Solve for x
    x = 96,571,525,470.14/357,105.49
  6. Step 6: Final answer
    x = 270,428.57

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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.