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Finding the Fourth Proportional to 339,394.42, 509,091.40 and 86,674.96

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Solution

The fourth proportional to 339,394.42, 509,091.40 and 86,674.96 is: 130,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,394.42 : 509,091.40 = 86,674.96 : x
  2. Step 2: Convert to fraction form
    339,394.42/509,091.40 = 86,674.96/x
  3. Step 3: Cross multiply
    339,394.42x = 509,091.40 × 86,674.96
  4. Step 4: Simplify right side
    339,394.42x = 44,125,476,731.34
  5. Step 5: Solve for x
    x = 44,125,476,731.34/339,394.42
  6. Step 6: Final answer
    x = 130,012.38

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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.