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Finding the Fourth Proportional to 472,942.20, 709,413.30 and 295,649.40

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Solution

The fourth proportional to 472,942.20, 709,413.30 and 295,649.40 is: 443,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,942.20 : 709,413.30 = 295,649.40 : x
  2. Step 2: Convert to fraction form
    472,942.20/709,413.30 = 295,649.40/x
  3. Step 3: Cross multiply
    472,942.20x = 709,413.30 × 295,649.40
  4. Step 4: Simplify right side
    472,942.20x = 209,737,616,497.02
  5. Step 5: Solve for x
    x = 209,737,616,497.02/472,942.20
  6. Step 6: Final answer
    x = 443,474.10

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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.