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Finding the Fourth Proportional to 361,654.70, 541,417.86 and 241,413.40

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Solution

The fourth proportional to 361,654.70, 541,417.86 and 241,413.40 is: 361,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,654.70 : 541,417.86 = 241,413.40 : x
  2. Step 2: Convert to fraction form
    361,654.70/541,417.86 = 241,413.40/x
  3. Step 3: Cross multiply
    361,654.70x = 541,417.86 × 241,413.40
  4. Step 4: Simplify right side
    361,654.70x = 130,705,526,403.32
  5. Step 5: Solve for x
    x = 130,705,526,403.32/361,654.70
  6. Step 6: Final answer
    x = 361,409.73

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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.