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Finding the Fourth Proportional to 359,741.85, 496,447.77 and 198,596.98

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Solution

The fourth proportional to 359,741.85, 496,447.77 and 198,596.98 is: 274,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,741.85 : 496,447.77 = 198,596.98 : x
  2. Step 2: Convert to fraction form
    359,741.85/496,447.77 = 198,596.98/x
  3. Step 3: Cross multiply
    359,741.85x = 496,447.77 × 198,596.98
  4. Step 4: Simplify right side
    359,741.85x = 98,593,027,849.73
  5. Step 5: Solve for x
    x = 98,593,027,849.73/359,741.85
  6. Step 6: Final answer
    x = 274,066.05

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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.