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Finding the Fourth Proportional to 361,337.86, 541,811.31 and 286,936.66

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Solution

The fourth proportional to 361,337.86, 541,811.31 and 286,936.66 is: 430,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,337.86 : 541,811.31 = 286,936.66 : x
  2. Step 2: Convert to fraction form
    361,337.86/541,811.31 = 286,936.66/x
  3. Step 3: Cross multiply
    361,337.86x = 541,811.31 × 286,936.66
  4. Step 4: Simplify right side
    361,337.86x = 155,465,527,641.63
  5. Step 5: Solve for x
    x = 155,465,527,641.63/361,337.86
  6. Step 6: Final answer
    x = 430,249.76

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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.