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Finding the Fourth Proportional to 304,726.98, 420,593.21 and 202,756.74

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Solution

The fourth proportional to 304,726.98, 420,593.21 and 202,756.74 is: 279,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,726.98 : 420,593.21 = 202,756.74 : x
  2. Step 2: Convert to fraction form
    304,726.98/420,593.21 = 202,756.74/x
  3. Step 3: Cross multiply
    304,726.98x = 420,593.21 × 202,756.74
  4. Step 4: Simplify right side
    304,726.98x = 85,278,106,295.06
  5. Step 5: Solve for x
    x = 85,278,106,295.06/304,726.98
  6. Step 6: Final answer
    x = 279,850.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.