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Finding the Fourth Proportional to 340,996.10, 511,494.07 and 116,356.52

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Solution

The fourth proportional to 340,996.10, 511,494.07 and 116,356.52 is: 174,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,996.10 : 511,494.07 = 116,356.52 : x
  2. Step 2: Convert to fraction form
    340,996.10/511,494.07 = 116,356.52/x
  3. Step 3: Cross multiply
    340,996.10x = 511,494.07 × 116,356.52
  4. Step 4: Simplify right side
    340,996.10x = 59,515,667,137.47
  5. Step 5: Solve for x
    x = 59,515,667,137.47/340,996.10
  6. Step 6: Final answer
    x = 174,534.74

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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.