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Finding the Fourth Proportional to 427,291.66, 589,638.54 and 233,660.96

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Solution

The fourth proportional to 427,291.66, 589,638.54 and 233,660.96 is: 322,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,291.66 : 589,638.54 = 233,660.96 : x
  2. Step 2: Convert to fraction form
    427,291.66/589,638.54 = 233,660.96/x
  3. Step 3: Cross multiply
    427,291.66x = 589,638.54 × 233,660.96
  4. Step 4: Simplify right side
    427,291.66x = 137,775,507,309.40
  5. Step 5: Solve for x
    x = 137,775,507,309.40/427,291.66
  6. Step 6: Final answer
    x = 322,439.03

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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.