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Finding the Fourth Proportional to 228,413.80, 341,648.70 and 204,891.40

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Solution

The fourth proportional to 228,413.80, 341,648.70 and 204,891.40 is: 306,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,413.80 : 341,648.70 = 204,891.40 : x
  2. Step 2: Convert to fraction form
    228,413.80/341,648.70 = 204,891.40/x
  3. Step 3: Cross multiply
    228,413.80x = 341,648.70 × 204,891.40
  4. Step 4: Simplify right side
    228,413.80x = 70,000,880,451.18
  5. Step 5: Solve for x
    x = 70,000,880,451.18/228,413.80
  6. Step 6: Final answer
    x = 306,465.20

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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.