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Finding the Fourth Proportional to 427,177.88, 589,499 and 233,586.21

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Solution

The fourth proportional to 427,177.88, 589,499 and 233,586.21 is: 322,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,177.88 : 589,499 = 233,586.21 : x
  2. Step 2: Convert to fraction form
    427,177.88/589,499 = 233,586.21/x
  3. Step 3: Cross multiply
    427,177.88x = 589,499 × 233,586.21
  4. Step 4: Simplify right side
    427,177.88x = 137,698,837,208.79
  5. Step 5: Solve for x
    x = 137,698,837,208.79/427,177.88
  6. Step 6: Final answer
    x = 322,345.43

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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.