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Finding the Fourth Proportional to 535,693.57, 739,262.70 and 293,991.80

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Solution

The fourth proportional to 535,693.57, 739,262.70 and 293,991.80 is: 405,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,693.57 : 739,262.70 = 293,991.80 : x
  2. Step 2: Convert to fraction form
    535,693.57/739,262.70 = 293,991.80/x
  3. Step 3: Cross multiply
    535,693.57x = 739,262.70 × 293,991.80
  4. Step 4: Simplify right side
    535,693.57x = 217,337,168,149.55
  5. Step 5: Solve for x
    x = 217,337,168,149.55/535,693.57
  6. Step 6: Final answer
    x = 405,711.74

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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.