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Finding the Fourth Proportional to 359,584.42, 496,238.40 and 196,249.86

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Solution

The fourth proportional to 359,584.42, 496,238.40 and 196,249.86 is: 270,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,584.42 : 496,238.40 = 196,249.86 : x
  2. Step 2: Convert to fraction form
    359,584.42/496,238.40 = 196,249.86/x
  3. Step 3: Cross multiply
    359,584.42x = 496,238.40 × 196,249.86
  4. Step 4: Simplify right side
    359,584.42x = 97,386,716,526.62
  5. Step 5: Solve for x
    x = 97,386,716,526.62/359,584.42
  6. Step 6: Final answer
    x = 270,831.30

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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.