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Finding the Fourth Proportional to 362,995.49, 500,934.20 and 201,847.10

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Solution

The fourth proportional to 362,995.49, 500,934.20 and 201,847.10 is: 278,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,995.49 : 500,934.20 = 201,847.10 : x
  2. Step 2: Convert to fraction form
    362,995.49/500,934.20 = 201,847.10/x
  3. Step 3: Cross multiply
    362,995.49x = 500,934.20 × 201,847.10
  4. Step 4: Simplify right side
    362,995.49x = 101,112,112,046.91
  5. Step 5: Solve for x
    x = 101,112,112,046.91/362,995.49
  6. Step 6: Final answer
    x = 278,549.22

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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.