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Finding the Fourth Proportional to 310,206.09, 427,975.38 and 202,838.97

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Solution

The fourth proportional to 310,206.09, 427,975.38 and 202,838.97 is: 279,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,206.09 : 427,975.38 = 202,838.97 : x
  2. Step 2: Convert to fraction form
    310,206.09/427,975.38 = 202,838.97/x
  3. Step 3: Cross multiply
    310,206.09x = 427,975.38 × 202,838.97
  4. Step 4: Simplify right side
    310,206.09x = 86,810,085,264.56
  5. Step 5: Solve for x
    x = 86,810,085,264.56/310,206.09
  6. Step 6: Final answer
    x = 279,846.49

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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.