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Finding the Fourth Proportional to 345,873.31, 477,305.96 and 194,970.31

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Solution

The fourth proportional to 345,873.31, 477,305.96 and 194,970.31 is: 269,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,873.31 : 477,305.96 = 194,970.31 : x
  2. Step 2: Convert to fraction form
    345,873.31/477,305.96 = 194,970.31/x
  3. Step 3: Cross multiply
    345,873.31x = 477,305.96 × 194,970.31
  4. Step 4: Simplify right side
    345,873.31x = 93,060,490,986.05
  5. Step 5: Solve for x
    x = 93,060,490,986.05/345,873.31
  6. Step 6: Final answer
    x = 269,059.47

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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.