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Finding the Fourth Proportional to 513,343.11, 769,471.65 and 193,356.51

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Solution

The fourth proportional to 513,343.11, 769,471.65 and 193,356.51 is: 289,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,343.11 : 769,471.65 = 193,356.51 : x
  2. Step 2: Convert to fraction form
    513,343.11/769,471.65 = 193,356.51/x
  3. Step 3: Cross multiply
    513,343.11x = 769,471.65 × 193,356.51
  4. Step 4: Simplify right side
    513,343.11x = 148,782,352,787.94
  5. Step 5: Solve for x
    x = 148,782,352,787.94/513,343.11
  6. Step 6: Final answer
    x = 289,830.23

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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.