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Finding the Fourth Proportional to 357,083.60, 492,758.84 and 195,934.64

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Solution

The fourth proportional to 357,083.60, 492,758.84 and 195,934.64 is: 270,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,083.60 : 492,758.84 = 195,934.64 : x
  2. Step 2: Convert to fraction form
    357,083.60/492,758.84 = 195,934.64/x
  3. Step 3: Cross multiply
    357,083.60x = 492,758.84 × 195,934.64
  4. Step 4: Simplify right side
    357,083.60x = 96,548,525,922.22
  5. Step 5: Solve for x
    x = 96,548,525,922.22/357,083.60
  6. Step 6: Final answer
    x = 270,380.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.