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Finding the Fourth Proportional to 649,057.30, 973,598.48 and 199,777.71

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Solution

The fourth proportional to 649,057.30, 973,598.48 and 199,777.71 is: 299,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,057.30 : 973,598.48 = 199,777.71 : x
  2. Step 2: Convert to fraction form
    649,057.30/973,598.48 = 199,777.71/x
  3. Step 3: Cross multiply
    649,057.30x = 973,598.48 × 199,777.71
  4. Step 4: Simplify right side
    649,057.30x = 194,503,274,793.88
  5. Step 5: Solve for x
    x = 194,503,274,793.88/649,057.30
  6. Step 6: Final answer
    x = 299,670.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.