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Finding the Fourth Proportional to 362,144.84, 499,750.26 and 200,995.72

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Solution

The fourth proportional to 362,144.84, 499,750.26 and 200,995.72 is: 277,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,144.84 : 499,750.26 = 200,995.72 : x
  2. Step 2: Convert to fraction form
    362,144.84/499,750.26 = 200,995.72/x
  3. Step 3: Cross multiply
    362,144.84x = 499,750.26 × 200,995.72
  4. Step 4: Simplify right side
    362,144.84x = 100,447,663,328.89
  5. Step 5: Solve for x
    x = 100,447,663,328.89/362,144.84
  6. Step 6: Final answer
    x = 277,368.75

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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.