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Finding the Fourth Proportional to 427,314.48, 589,704.31 and 233,740.37

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Solution

The fourth proportional to 427,314.48, 589,704.31 and 233,740.37 is: 322,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,314.48 : 589,704.31 = 233,740.37 : x
  2. Step 2: Convert to fraction form
    427,314.48/589,704.31 = 233,740.37/x
  3. Step 3: Cross multiply
    427,314.48x = 589,704.31 × 233,740.37
  4. Step 4: Simplify right side
    427,314.48x = 137,837,703,610.00
  5. Step 5: Solve for x
    x = 137,837,703,610.00/427,314.48
  6. Step 6: Final answer
    x = 322,567.36

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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.