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Finding the Fourth Proportional to 362,948, 500,844.50 and 201,797.12

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Solution

The fourth proportional to 362,948, 500,844.50 and 201,797.12 is: 278,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,948 : 500,844.50 = 201,797.12 : x
  2. Step 2: Convert to fraction form
    362,948/500,844.50 = 201,797.12/x
  3. Step 3: Cross multiply
    362,948x = 500,844.50 × 201,797.12
  4. Step 4: Simplify right side
    362,948x = 101,068,977,667.84
  5. Step 5: Solve for x
    x = 101,068,977,667.84/362,948
  6. Step 6: Final answer
    x = 278,466.83

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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.