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Finding the Fourth Proportional to 357,171.48, 492,926.90 and 196,053.83

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Solution

The fourth proportional to 357,171.48, 492,926.90 and 196,053.83 is: 270,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,171.48 : 492,926.90 = 196,053.83 : x
  2. Step 2: Convert to fraction form
    357,171.48/492,926.90 = 196,053.83/x
  3. Step 3: Cross multiply
    357,171.48x = 492,926.90 × 196,053.83
  4. Step 4: Simplify right side
    357,171.48x = 96,640,203,210.12
  5. Step 5: Solve for x
    x = 96,640,203,210.12/357,171.48
  6. Step 6: Final answer
    x = 270,570.88

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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.