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Finding the Fourth Proportional to 357,414.61, 493,235.59 and 196,273.03

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Solution

The fourth proportional to 357,414.61, 493,235.59 and 196,273.03 is: 270,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,414.61 : 493,235.59 = 196,273.03 : x
  2. Step 2: Convert to fraction form
    357,414.61/493,235.59 = 196,273.03/x
  3. Step 3: Cross multiply
    357,414.61x = 493,235.59 × 196,273.03
  4. Step 4: Simplify right side
    357,414.61x = 96,808,843,753.14
  5. Step 5: Solve for x
    x = 96,808,843,753.14/357,414.61
  6. Step 6: Final answer
    x = 270,858.66

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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.