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Finding the Fourth Proportional to 361,333.86, 541,805.31 and 286,932.66

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Solution

The fourth proportional to 361,333.86, 541,805.31 and 286,932.66 is: 430,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,333.86 : 541,805.31 = 286,932.66 : x
  2. Step 2: Convert to fraction form
    361,333.86/541,805.31 = 286,932.66/x
  3. Step 3: Cross multiply
    361,333.86x = 541,805.31 × 286,932.66
  4. Step 4: Simplify right side
    361,333.86x = 155,461,638,800.43
  5. Step 5: Solve for x
    x = 155,461,638,800.43/361,333.86
  6. Step 6: Final answer
    x = 430,243.76

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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.