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Finding the Fourth Proportional to 339,502.34, 509,308.59 and 114,876.56

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Solution

The fourth proportional to 339,502.34, 509,308.59 and 114,876.56 is: 172,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,502.34 : 509,308.59 = 114,876.56 : x
  2. Step 2: Convert to fraction form
    339,502.34/509,308.59 = 114,876.56/x
  3. Step 3: Cross multiply
    339,502.34x = 509,308.59 × 114,876.56
  4. Step 4: Simplify right side
    339,502.34x = 58,507,618,797.65
  5. Step 5: Solve for x
    x = 58,507,618,797.65/339,502.34
  6. Step 6: Final answer
    x = 172,333.48

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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.