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Finding the Fourth Proportional to 228,935.80, 342,431.70 and 205,413.40

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Solution

The fourth proportional to 228,935.80, 342,431.70 and 205,413.40 is: 307,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,935.80 : 342,431.70 = 205,413.40 : x
  2. Step 2: Convert to fraction form
    228,935.80/342,431.70 = 205,413.40/x
  3. Step 3: Cross multiply
    228,935.80x = 342,431.70 × 205,413.40
  4. Step 4: Simplify right side
    228,935.80x = 70,340,059,764.78
  5. Step 5: Solve for x
    x = 70,340,059,764.78/228,935.80
  6. Step 6: Final answer
    x = 307,247.97

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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.