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Finding the Fourth Proportional to 339,226.14, 509,072.46 and 117,610.14

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Solution

The fourth proportional to 339,226.14, 509,072.46 and 117,610.14 is: 176,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,226.14 : 509,072.46 = 117,610.14 : x
  2. Step 2: Convert to fraction form
    339,226.14/509,072.46 = 117,610.14/x
  3. Step 3: Cross multiply
    339,226.14x = 509,072.46 × 117,610.14
  4. Step 4: Simplify right side
    339,226.14x = 59,872,083,290.74
  5. Step 5: Solve for x
    x = 59,872,083,290.74/339,226.14
  6. Step 6: Final answer
    x = 176,496.08

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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.