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Finding the Fourth Proportional to 346,413.60, 519,793.20 and 196,768.80

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Solution

The fourth proportional to 346,413.60, 519,793.20 and 196,768.80 is: 295,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,413.60 : 519,793.20 = 196,768.80 : x
  2. Step 2: Convert to fraction form
    346,413.60/519,793.20 = 196,768.80/x
  3. Step 3: Cross multiply
    346,413.60x = 519,793.20 × 196,768.80
  4. Step 4: Simplify right side
    346,413.60x = 102,279,084,212.16
  5. Step 5: Solve for x
    x = 102,279,084,212.16/346,413.60
  6. Step 6: Final answer
    x = 295,251.35

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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.