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Finding the Fourth Proportional to 357,852.56, 493,836.60 and 196,718

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Solution

The fourth proportional to 357,852.56, 493,836.60 and 196,718 is: 271,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,852.56 : 493,836.60 = 196,718 : x
  2. Step 2: Convert to fraction form
    357,852.56/493,836.60 = 196,718/x
  3. Step 3: Cross multiply
    357,852.56x = 493,836.60 × 196,718
  4. Step 4: Simplify right side
    357,852.56x = 97,146,548,278.80
  5. Step 5: Solve for x
    x = 97,146,548,278.80/357,852.56
  6. Step 6: Final answer
    x = 271,470.88

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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.