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Finding the Fourth Proportional to 340,213.55, 509,360.40 and 179,926.25

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Solution

The fourth proportional to 340,213.55, 509,360.40 and 179,926.25 is: 269,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,213.55 : 509,360.40 = 179,926.25 : x
  2. Step 2: Convert to fraction form
    340,213.55/509,360.40 = 179,926.25/x
  3. Step 3: Cross multiply
    340,213.55x = 509,360.40 × 179,926.25
  4. Step 4: Simplify right side
    340,213.55x = 91,647,304,123.70
  5. Step 5: Solve for x
    x = 91,647,304,123.70/340,213.55
  6. Step 6: Final answer
    x = 269,381.70

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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.