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Finding the Fourth Proportional to 555,410.15, 832,942.94 and 200,378.01

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Solution

The fourth proportional to 555,410.15, 832,942.94 and 200,378.01 is: 300,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,410.15 : 832,942.94 = 200,378.01 : x
  2. Step 2: Convert to fraction form
    555,410.15/832,942.94 = 200,378.01/x
  3. Step 3: Cross multiply
    555,410.15x = 832,942.94 × 200,378.01
  4. Step 4: Simplify right side
    555,410.15x = 166,903,447,758.86
  5. Step 5: Solve for x
    x = 166,903,447,758.86/555,410.15
  6. Step 6: Final answer
    x = 300,504.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.