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Finding the Fourth Proportional to 363,046.40, 544,310.40 and 205,323.20

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Solution

The fourth proportional to 363,046.40, 544,310.40 and 205,323.20 is: 307,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,046.40 : 544,310.40 = 205,323.20 : x
  2. Step 2: Convert to fraction form
    363,046.40/544,310.40 = 205,323.20/x
  3. Step 3: Cross multiply
    363,046.40x = 544,310.40 × 205,323.20
  4. Step 4: Simplify right side
    363,046.40x = 111,759,553,121.28
  5. Step 5: Solve for x
    x = 111,759,553,121.28/363,046.40
  6. Step 6: Final answer
    x = 307,838.21

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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.