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Finding the Fourth Proportional to 543,415.60, 815,737.80 and 419,306.80

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Solution

The fourth proportional to 543,415.60, 815,737.80 and 419,306.80 is: 629,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,415.60 : 815,737.80 = 419,306.80 : x
  2. Step 2: Convert to fraction form
    543,415.60/815,737.80 = 419,306.80/x
  3. Step 3: Cross multiply
    543,415.60x = 815,737.80 × 419,306.80
  4. Step 4: Simplify right side
    543,415.60x = 342,044,406,557.04
  5. Step 5: Solve for x
    x = 342,044,406,557.04/543,415.60
  6. Step 6: Final answer
    x = 629,434.28

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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.