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Finding the Fourth Proportional to 364,390.10, 501,824.13 and 313,029.62

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Solution

The fourth proportional to 364,390.10, 501,824.13 and 313,029.62 is: 431,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,390.10 : 501,824.13 = 313,029.62 : x
  2. Step 2: Convert to fraction form
    364,390.10/501,824.13 = 313,029.62/x
  3. Step 3: Cross multiply
    364,390.10x = 501,824.13 × 313,029.62
  4. Step 4: Simplify right side
    364,390.10x = 157,085,816,720.73
  5. Step 5: Solve for x
    x = 157,085,816,720.73/364,390.10
  6. Step 6: Final answer
    x = 431,092.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.