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Finding the Fourth Proportional to 340,329, 510,437.46 and 127,040.94

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Solution

The fourth proportional to 340,329, 510,437.46 and 127,040.94 is: 190,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,329 : 510,437.46 = 127,040.94 : x
  2. Step 2: Convert to fraction form
    340,329/510,437.46 = 127,040.94/x
  3. Step 3: Cross multiply
    340,329x = 510,437.46 × 127,040.94
  4. Step 4: Simplify right side
    340,329x = 64,846,454,729.61
  5. Step 5: Solve for x
    x = 64,846,454,729.61/340,329
  6. Step 6: Final answer
    x = 190,540.49

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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.