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Finding the Fourth Proportional to 339,549.72, 509,008.02 and 114,752.97

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Solution

The fourth proportional to 339,549.72, 509,008.02 and 114,752.97 is: 172,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,549.72 : 509,008.02 = 114,752.97 : x
  2. Step 2: Convert to fraction form
    339,549.72/509,008.02 = 114,752.97/x
  3. Step 3: Cross multiply
    339,549.72x = 509,008.02 × 114,752.97
  4. Step 4: Simplify right side
    339,549.72x = 58,410,182,048.82
  5. Step 5: Solve for x
    x = 58,410,182,048.82/339,549.72
  6. Step 6: Final answer
    x = 172,022.47

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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.