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Finding the Fourth Proportional to 513,356.30, 770,087.27 and 193,777.36

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Solution

The fourth proportional to 513,356.30, 770,087.27 and 193,777.36 is: 290,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,356.30 : 770,087.27 = 193,777.36 : x
  2. Step 2: Convert to fraction form
    513,356.30/770,087.27 = 193,777.36/x
  3. Step 3: Cross multiply
    513,356.30x = 770,087.27 × 193,777.36
  4. Step 4: Simplify right side
    513,356.30x = 149,225,478,150.21
  5. Step 5: Solve for x
    x = 149,225,478,150.21/513,356.30
  6. Step 6: Final answer
    x = 290,685.98

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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.