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Finding the Fourth Proportional to 357,236.72, 492,992.24 and 196,106.48

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Solution

The fourth proportional to 357,236.72, 492,992.24 and 196,106.48 is: 270,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,236.72 : 492,992.24 = 196,106.48 : x
  2. Step 2: Convert to fraction form
    357,236.72/492,992.24 = 196,106.48/x
  3. Step 3: Cross multiply
    357,236.72x = 492,992.24 × 196,106.48
  4. Step 4: Simplify right side
    357,236.72x = 96,678,972,853.72
  5. Step 5: Solve for x
    x = 96,678,972,853.72/357,236.72
  6. Step 6: Final answer
    x = 270,630.00

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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.