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Finding the Fourth Proportional to 362,145.84, 499,751.64 and 200,996.72

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Solution

The fourth proportional to 362,145.84, 499,751.64 and 200,996.72 is: 277,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,145.84 : 499,751.64 = 200,996.72 : x
  2. Step 2: Convert to fraction form
    362,145.84/499,751.64 = 200,996.72/x
  3. Step 3: Cross multiply
    362,145.84x = 499,751.64 × 200,996.72
  4. Step 4: Simplify right side
    362,145.84x = 100,448,440,454.62
  5. Step 5: Solve for x
    x = 100,448,440,454.62/362,145.84
  6. Step 6: Final answer
    x = 277,370.13

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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.