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Finding the Fourth Proportional to 408,829, 613,243.50 and 113,341

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Solution

The fourth proportional to 408,829, 613,243.50 and 113,341 is: 170,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,829 : 613,243.50 = 113,341 : x
  2. Step 2: Convert to fraction form
    408,829/613,243.50 = 113,341/x
  3. Step 3: Cross multiply
    408,829x = 613,243.50 × 113,341
  4. Step 4: Simplify right side
    408,829x = 69,505,631,533.50
  5. Step 5: Solve for x
    x = 69,505,631,533.50/408,829
  6. Step 6: Final answer
    x = 170,011.50

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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.