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Finding the Fourth Proportional to 310,890.26, 429,080.02 and 196,231.32

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Solution

The fourth proportional to 310,890.26, 429,080.02 and 196,231.32 is: 270,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,890.26 : 429,080.02 = 196,231.32 : x
  2. Step 2: Convert to fraction form
    310,890.26/429,080.02 = 196,231.32/x
  3. Step 3: Cross multiply
    310,890.26x = 429,080.02 × 196,231.32
  4. Step 4: Simplify right side
    310,890.26x = 84,198,938,219.65
  5. Step 5: Solve for x
    x = 84,198,938,219.65/310,890.26
  6. Step 6: Final answer
    x = 270,831.70

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