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Finding the Fourth Proportional to 359,534.94, 496,157.62 and 198,389.86

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Solution

The fourth proportional to 359,534.94, 496,157.62 and 198,389.86 is: 273,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,534.94 : 496,157.62 = 198,389.86 : x
  2. Step 2: Convert to fraction form
    359,534.94/496,157.62 = 198,389.86/x
  3. Step 3: Cross multiply
    359,534.94x = 496,157.62 × 198,389.86
  4. Step 4: Simplify right side
    359,534.94x = 98,432,640,769.73
  5. Step 5: Solve for x
    x = 98,432,640,769.73/359,534.94
  6. Step 6: Final answer
    x = 273,777.68

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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.