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Finding the Fourth Proportional to 613,664.85, 920,069.32 and 271,922.41

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Solution

The fourth proportional to 613,664.85, 920,069.32 and 271,922.41 is: 407,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,664.85 : 920,069.32 = 271,922.41 : x
  2. Step 2: Convert to fraction form
    613,664.85/920,069.32 = 271,922.41/x
  3. Step 3: Cross multiply
    613,664.85x = 920,069.32 × 271,922.41
  4. Step 4: Simplify right side
    613,664.85x = 250,187,460,901.50
  5. Step 5: Solve for x
    x = 250,187,460,901.50/613,664.85
  6. Step 6: Final answer
    x = 407,693.98

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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.