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Finding the Fourth Proportional to 362,093.92, 499,719.45 and 200,946.04

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Solution

The fourth proportional to 362,093.92, 499,719.45 and 200,946.04 is: 277,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,093.92 : 499,719.45 = 200,946.04 : x
  2. Step 2: Convert to fraction form
    362,093.92/499,719.45 = 200,946.04/x
  3. Step 3: Cross multiply
    362,093.92x = 499,719.45 × 200,946.04
  4. Step 4: Simplify right side
    362,093.92x = 100,416,644,588.48
  5. Step 5: Solve for x
    x = 100,416,644,588.48/362,093.92
  6. Step 6: Final answer
    x = 277,322.10

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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.