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Finding the Fourth Proportional to 295,786, 408,041.96 and 193,766.96

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Solution

The fourth proportional to 295,786, 408,041.96 and 193,766.96 is: 267,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,786 : 408,041.96 = 193,766.96 : x
  2. Step 2: Convert to fraction form
    295,786/408,041.96 = 193,766.96/x
  3. Step 3: Cross multiply
    295,786x = 408,041.96 × 193,766.96
  4. Step 4: Simplify right side
    295,786x = 79,065,050,141.64
  5. Step 5: Solve for x
    x = 79,065,050,141.64/295,786
  6. Step 6: Final answer
    x = 267,304.91

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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.