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Finding the Fourth Proportional to 341,704.96, 512,558.40 and 201,270.40

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Solution

The fourth proportional to 341,704.96, 512,558.40 and 201,270.40 is: 301,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,704.96 : 512,558.40 = 201,270.40 : x
  2. Step 2: Convert to fraction form
    341,704.96/512,558.40 = 201,270.40/x
  3. Step 3: Cross multiply
    341,704.96x = 512,558.40 × 201,270.40
  4. Step 4: Simplify right side
    341,704.96x = 103,162,834,191.36
  5. Step 5: Solve for x
    x = 103,162,834,191.36/341,704.96
  6. Step 6: Final answer
    x = 301,906.17

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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.