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Finding the Fourth Proportional to 362,014.36, 499,607.19 and 200,899.87

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Solution

The fourth proportional to 362,014.36, 499,607.19 and 200,899.87 is: 277,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,014.36 : 499,607.19 = 200,899.87 : x
  2. Step 2: Convert to fraction form
    362,014.36/499,607.19 = 200,899.87/x
  3. Step 3: Cross multiply
    362,014.36x = 499,607.19 × 200,899.87
  4. Step 4: Simplify right side
    362,014.36x = 100,371,019,522.07
  5. Step 5: Solve for x
    x = 100,371,019,522.07/362,014.36
  6. Step 6: Final answer
    x = 277,257.01

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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.