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Finding the Fourth Proportional to 295,530.40, 442,671.60 and 195,738.40

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Solution

The fourth proportional to 295,530.40, 442,671.60 and 195,738.40 is: 293,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,530.40 : 442,671.60 = 195,738.40 : x
  2. Step 2: Convert to fraction form
    295,530.40/442,671.60 = 195,738.40/x
  3. Step 3: Cross multiply
    295,530.40x = 442,671.60 × 195,738.40
  4. Step 4: Simplify right side
    295,530.40x = 86,647,830,709.44
  5. Step 5: Solve for x
    x = 86,647,830,709.44/295,530.40
  6. Step 6: Final answer
    x = 293,194.31

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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.