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Finding the Fourth Proportional to 362,401.68, 500,121.10 and 201,271.83

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Solution

The fourth proportional to 362,401.68, 500,121.10 and 201,271.83 is: 277,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,401.68 : 500,121.10 = 201,271.83 : x
  2. Step 2: Convert to fraction form
    362,401.68/500,121.10 = 201,271.83/x
  3. Step 3: Cross multiply
    362,401.68x = 500,121.10 × 201,271.83
  4. Step 4: Simplify right side
    362,401.68x = 100,660,289,018.61
  5. Step 5: Solve for x
    x = 100,660,289,018.61/362,401.68
  6. Step 6: Final answer
    x = 277,758.89

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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.