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Finding the Fourth Proportional to 462,871.98, 694,570.23 and 182,586.06

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Solution

The fourth proportional to 462,871.98, 694,570.23 and 182,586.06 is: 273,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,871.98 : 694,570.23 = 182,586.06 : x
  2. Step 2: Convert to fraction form
    462,871.98/694,570.23 = 182,586.06/x
  3. Step 3: Cross multiply
    462,871.98x = 694,570.23 × 182,586.06
  4. Step 4: Simplify right side
    462,871.98x = 126,818,841,688.99
  5. Step 5: Solve for x
    x = 126,818,841,688.99/462,871.98
  6. Step 6: Final answer
    x = 273,982.54

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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.