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Finding the Fourth Proportional to 531,993.48, 734,150.70 and 341,006.73

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Solution

The fourth proportional to 531,993.48, 734,150.70 and 341,006.73 is: 470,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,993.48 : 734,150.70 = 341,006.73 : x
  2. Step 2: Convert to fraction form
    531,993.48/734,150.70 = 341,006.73/x
  3. Step 3: Cross multiply
    531,993.48x = 734,150.70 × 341,006.73
  4. Step 4: Simplify right side
    531,993.48x = 250,350,329,534.21
  5. Step 5: Solve for x
    x = 250,350,329,534.21/531,993.48
  6. Step 6: Final answer
    x = 470,589.09

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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.