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Finding the Fourth Proportional to 329,530.60, 494,295.90 and 205,114.60

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Solution

The fourth proportional to 329,530.60, 494,295.90 and 205,114.60 is: 307,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,530.60 : 494,295.90 = 205,114.60 : x
  2. Step 2: Convert to fraction form
    329,530.60/494,295.90 = 205,114.60/x
  3. Step 3: Cross multiply
    329,530.60x = 494,295.90 × 205,114.60
  4. Step 4: Simplify right side
    329,530.60x = 101,387,305,810.14
  5. Step 5: Solve for x
    x = 101,387,305,810.14/329,530.60
  6. Step 6: Final answer
    x = 307,671.90

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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.