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Finding the Fourth Proportional to 362,614.68, 500,416.98 and 201,476.52

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Solution

The fourth proportional to 362,614.68, 500,416.98 and 201,476.52 is: 278,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,614.68 : 500,416.98 = 201,476.52 : x
  2. Step 2: Convert to fraction form
    362,614.68/500,416.98 = 201,476.52/x
  3. Step 3: Cross multiply
    362,614.68x = 500,416.98 × 201,476.52
  4. Step 4: Simplify right side
    362,614.68x = 100,822,271,679.31
  5. Step 5: Solve for x
    x = 100,822,271,679.31/362,614.68
  6. Step 6: Final answer
    x = 278,042.44

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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.