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Finding the Fourth Proportional to 414,513.60, 620,733.60 and 331,569.60

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Solution

The fourth proportional to 414,513.60, 620,733.60 and 331,569.60 is: 496,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,513.60 : 620,733.60 = 331,569.60 : x
  2. Step 2: Convert to fraction form
    414,513.60/620,733.60 = 331,569.60/x
  3. Step 3: Cross multiply
    414,513.60x = 620,733.60 × 331,569.60
  4. Step 4: Simplify right side
    414,513.60x = 205,816,391,458.56
  5. Step 5: Solve for x
    x = 205,816,391,458.56/414,513.60
  6. Step 6: Final answer
    x = 496,525.06

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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.