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Finding the Fourth Proportional to 535,343.29, 738,795 and 293,634.70

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Solution

The fourth proportional to 535,343.29, 738,795 and 293,634.70 is: 405,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,343.29 : 738,795 = 293,634.70 : x
  2. Step 2: Convert to fraction form
    535,343.29/738,795 = 293,634.70/x
  3. Step 3: Cross multiply
    535,343.29x = 738,795 × 293,634.70
  4. Step 4: Simplify right side
    535,343.29x = 216,935,848,186.50
  5. Step 5: Solve for x
    x = 216,935,848,186.50/535,343.29
  6. Step 6: Final answer
    x = 405,227.55

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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.