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Finding the Fourth Proportional to 362,535.33, 500,298.50 and 201,405.45

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Solution

The fourth proportional to 362,535.33, 500,298.50 and 201,405.45 is: 277,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,535.33 : 500,298.50 = 201,405.45 : x
  2. Step 2: Convert to fraction form
    362,535.33/500,298.50 = 201,405.45/x
  3. Step 3: Cross multiply
    362,535.33x = 500,298.50 × 201,405.45
  4. Step 4: Simplify right side
    362,535.33x = 100,762,843,519.80
  5. Step 5: Solve for x
    x = 100,762,843,519.80/362,535.33
  6. Step 6: Final answer
    x = 277,939.38

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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.