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Finding the Fourth Proportional to 535,842.80, 739,422.43 and 294,086.96

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Solution

The fourth proportional to 535,842.80, 739,422.43 and 294,086.96 is: 405,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,842.80 : 739,422.43 = 294,086.96 : x
  2. Step 2: Convert to fraction form
    535,842.80/739,422.43 = 294,086.96/x
  3. Step 3: Cross multiply
    535,842.80x = 739,422.43 × 294,086.96
  4. Step 4: Simplify right side
    535,842.80x = 217,454,490,162.18
  5. Step 5: Solve for x
    x = 217,454,490,162.18/535,842.80
  6. Step 6: Final answer
    x = 405,817.70

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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.