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Finding the Fourth Proportional to 589,076.56, 883,597.26 and 162,638.42

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Solution

The fourth proportional to 589,076.56, 883,597.26 and 162,638.42 is: 243,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,076.56 : 883,597.26 = 162,638.42 : x
  2. Step 2: Convert to fraction form
    589,076.56/883,597.26 = 162,638.42/x
  3. Step 3: Cross multiply
    589,076.56x = 883,597.26 × 162,638.42
  4. Step 4: Simplify right side
    589,076.56x = 143,706,862,282.73
  5. Step 5: Solve for x
    x = 143,706,862,282.73/589,076.56
  6. Step 6: Final answer
    x = 243,952.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.