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Finding the Fourth Proportional to 362,115.94, 499,696.72 and 200,971.10

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Solution

The fourth proportional to 362,115.94, 499,696.72 and 200,971.10 is: 277,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,115.94 : 499,696.72 = 200,971.10 : x
  2. Step 2: Convert to fraction form
    362,115.94/499,696.72 = 200,971.10/x
  3. Step 3: Cross multiply
    362,115.94x = 499,696.72 × 200,971.10
  4. Step 4: Simplify right side
    362,115.94x = 100,424,599,484.79
  5. Step 5: Solve for x
    x = 100,424,599,484.79/362,115.94
  6. Step 6: Final answer
    x = 277,327.20

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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.