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Finding the Fourth Proportional to 357,262.07, 493,019.66 and 196,119.86

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Solution

The fourth proportional to 357,262.07, 493,019.66 and 196,119.86 is: 270,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,262.07 : 493,019.66 = 196,119.86 : x
  2. Step 2: Convert to fraction form
    357,262.07/493,019.66 = 196,119.86/x
  3. Step 3: Cross multiply
    357,262.07x = 493,019.66 × 196,119.86
  4. Step 4: Simplify right side
    357,262.07x = 96,690,944,721.65
  5. Step 5: Solve for x
    x = 96,690,944,721.65/357,262.07
  6. Step 6: Final answer
    x = 270,644.31

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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.