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Finding the Fourth Proportional to 427,558.86, 589,774.11 and 282,365.97

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Solution

The fourth proportional to 427,558.86, 589,774.11 and 282,365.97 is: 389,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,558.86 : 589,774.11 = 282,365.97 : x
  2. Step 2: Convert to fraction form
    427,558.86/589,774.11 = 282,365.97/x
  3. Step 3: Cross multiply
    427,558.86x = 589,774.11 × 282,365.97
  4. Step 4: Simplify right side
    427,558.86x = 166,532,138,651.04
  5. Step 5: Solve for x
    x = 166,532,138,651.04/427,558.86
  6. Step 6: Final answer
    x = 389,495.23

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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.