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Finding the Fourth Proportional to 578,006.80, 867,010.20 and 419,491.60

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Solution

The fourth proportional to 578,006.80, 867,010.20 and 419,491.60 is: 629,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,006.80 : 867,010.20 = 419,491.60 : x
  2. Step 2: Convert to fraction form
    578,006.80/867,010.20 = 419,491.60/x
  3. Step 3: Cross multiply
    578,006.80x = 867,010.20 × 419,491.60
  4. Step 4: Simplify right side
    578,006.80x = 363,703,496,014.32
  5. Step 5: Solve for x
    x = 363,703,496,014.32/578,006.80
  6. Step 6: Final answer
    x = 629,237.40

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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.