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Finding the Fourth Proportional to 829,400.80, 1,245,413.40 and 629,946.40

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Solution

The fourth proportional to 829,400.80, 1,245,413.40 and 629,946.40 is: 945,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,400.80 : 1,245,413.40 = 629,946.40 : x
  2. Step 2: Convert to fraction form
    829,400.80/1,245,413.40 = 629,946.40/x
  3. Step 3: Cross multiply
    829,400.80x = 1,245,413.40 × 629,946.40
  4. Step 4: Simplify right side
    829,400.80x = 784,543,687,841.76
  5. Step 5: Solve for x
    x = 784,543,687,841.76/829,400.80
  6. Step 6: Final answer
    x = 945,916.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.