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Finding the Fourth Proportional to 366,472.56, 505,723.32 and 205,334.40

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Solution

The fourth proportional to 366,472.56, 505,723.32 and 205,334.40 is: 283,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,472.56 : 505,723.32 = 205,334.40 : x
  2. Step 2: Convert to fraction form
    366,472.56/505,723.32 = 205,334.40/x
  3. Step 3: Cross multiply
    366,472.56x = 505,723.32 × 205,334.40
  4. Step 4: Simplify right side
    366,472.56x = 103,842,394,478.21
  5. Step 5: Solve for x
    x = 103,842,394,478.21/366,472.56
  6. Step 6: Final answer
    x = 283,356.53

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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.