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Finding the Fourth Proportional to 362,146.68, 499,753.08 and 200,997

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Solution

The fourth proportional to 362,146.68, 499,753.08 and 200,997 is: 277,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,146.68 : 499,753.08 = 200,997 : x
  2. Step 2: Convert to fraction form
    362,146.68/499,753.08 = 200,997/x
  3. Step 3: Cross multiply
    362,146.68x = 499,753.08 × 200,997
  4. Step 4: Simplify right side
    362,146.68x = 100,448,869,820.76
  5. Step 5: Solve for x
    x = 100,448,869,820.76/362,146.68
  6. Step 6: Final answer
    x = 277,370.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.