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Finding the Fourth Proportional to 340,814.84, 511,065.75 and 116,083.83

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Solution

The fourth proportional to 340,814.84, 511,065.75 and 116,083.83 is: 174,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,814.84 : 511,065.75 = 116,083.83 : x
  2. Step 2: Convert to fraction form
    340,814.84/511,065.75 = 116,083.83/x
  3. Step 3: Cross multiply
    340,814.84x = 511,065.75 × 116,083.83
  4. Step 4: Simplify right side
    340,814.84x = 59,326,471,993.63
  5. Step 5: Solve for x
    x = 59,326,471,993.63/340,814.84
  6. Step 6: Final answer
    x = 174,072.44

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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.