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Finding the Fourth Proportional to 285,576.40, 427,846.20 and 174,638.80

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Solution

The fourth proportional to 285,576.40, 427,846.20 and 174,638.80 is: 261,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,576.40 : 427,846.20 = 174,638.80 : x
  2. Step 2: Convert to fraction form
    285,576.40/427,846.20 = 174,638.80/x
  3. Step 3: Cross multiply
    285,576.40x = 427,846.20 × 174,638.80
  4. Step 4: Simplify right side
    285,576.40x = 74,718,546,952.56
  5. Step 5: Solve for x
    x = 74,718,546,952.56/285,576.40
  6. Step 6: Final answer
    x = 261,641.18

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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.