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Finding the Fourth Proportional to 492,782.80, 739,174.20 and 405,302.80

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Solution

The fourth proportional to 492,782.80, 739,174.20 and 405,302.80 is: 607,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,782.80 : 739,174.20 = 405,302.80 : x
  2. Step 2: Convert to fraction form
    492,782.80/739,174.20 = 405,302.80/x
  3. Step 3: Cross multiply
    492,782.80x = 739,174.20 × 405,302.80
  4. Step 4: Simplify right side
    492,782.80x = 299,589,372,947.76
  5. Step 5: Solve for x
    x = 299,589,372,947.76/492,782.80
  6. Step 6: Final answer
    x = 607,954.20

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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.