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Finding the Fourth Proportional to 543,429.60, 815,758.80 and 419,320.80

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Solution

The fourth proportional to 543,429.60, 815,758.80 and 419,320.80 is: 629,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,429.60 : 815,758.80 = 419,320.80 : x
  2. Step 2: Convert to fraction form
    543,429.60/815,758.80 = 419,320.80/x
  3. Step 3: Cross multiply
    543,429.60x = 815,758.80 × 419,320.80
  4. Step 4: Simplify right side
    543,429.60x = 342,064,632,623.04
  5. Step 5: Solve for x
    x = 342,064,632,623.04/543,429.60
  6. Step 6: Final answer
    x = 629,455.28

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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.