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Finding the Fourth Proportional to 357,413.61, 493,234.21 and 196,272.03

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Solution

The fourth proportional to 357,413.61, 493,234.21 and 196,272.03 is: 270,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,413.61 : 493,234.21 = 196,272.03 : x
  2. Step 2: Convert to fraction form
    357,413.61/493,234.21 = 196,272.03/x
  3. Step 3: Cross multiply
    357,413.61x = 493,234.21 × 196,272.03
  4. Step 4: Simplify right side
    357,413.61x = 96,808,079,662.15
  5. Step 5: Solve for x
    x = 96,808,079,662.15/357,413.61
  6. Step 6: Final answer
    x = 270,857.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.