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Finding the Fourth Proportional to 357,335.07, 493,123.38 and 196,200.56

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Solution

The fourth proportional to 357,335.07, 493,123.38 and 196,200.56 is: 270,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,335.07 : 493,123.38 = 196,200.56 : x
  2. Step 2: Convert to fraction form
    357,335.07/493,123.38 = 196,200.56/x
  3. Step 3: Cross multiply
    357,335.07x = 493,123.38 × 196,200.56
  4. Step 4: Simplify right side
    357,335.07x = 96,751,080,839.48
  5. Step 5: Solve for x
    x = 96,751,080,839.48/357,335.07
  6. Step 6: Final answer
    x = 270,757.31

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1.5x scale

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.