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Finding the Fourth Proportional to 513,119.01, 769,803.79 and 361,611.61

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Solution

The fourth proportional to 513,119.01, 769,803.79 and 361,611.61 is: 542,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,119.01 : 769,803.79 = 361,611.61 : x
  2. Step 2: Convert to fraction form
    513,119.01/769,803.79 = 361,611.61/x
  3. Step 3: Cross multiply
    513,119.01x = 769,803.79 × 361,611.61
  4. Step 4: Simplify right side
    513,119.01x = 278,369,989,300.27
  5. Step 5: Solve for x
    x = 278,369,989,300.27/513,119.01
  6. Step 6: Final answer
    x = 542,505.71

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Why These Related Problems?

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