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Finding the Fourth Proportional to 492,029.80, 738,174.30 and 176,453.80

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Solution

The fourth proportional to 492,029.80, 738,174.30 and 176,453.80 is: 264,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,029.80 : 738,174.30 = 176,453.80 : x
  2. Step 2: Convert to fraction form
    492,029.80/738,174.30 = 176,453.80/x
  3. Step 3: Cross multiply
    492,029.80x = 738,174.30 × 176,453.80
  4. Step 4: Simplify right side
    492,029.80x = 130,253,660,297.34
  5. Step 5: Solve for x
    x = 130,253,660,297.34/492,029.80
  6. Step 6: Final answer
    x = 264,727.18

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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.