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Finding the Fourth Proportional to 361,653.13, 541,415.51 and 241,411.83

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Solution

The fourth proportional to 361,653.13, 541,415.51 and 241,411.83 is: 361,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,653.13 : 541,415.51 = 241,411.83 : x
  2. Step 2: Convert to fraction form
    361,653.13/541,415.51 = 241,411.83/x
  3. Step 3: Cross multiply
    361,653.13x = 541,415.51 × 241,411.83
  4. Step 4: Simplify right side
    361,653.13x = 130,704,110,413.02
  5. Step 5: Solve for x
    x = 130,704,110,413.02/361,653.13
  6. Step 6: Final answer
    x = 361,407.39

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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.