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Finding the Fourth Proportional to 339,548.22, 509,005.77 and 114,751.47

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Solution

The fourth proportional to 339,548.22, 509,005.77 and 114,751.47 is: 172,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,548.22 : 509,005.77 = 114,751.47 : x
  2. Step 2: Convert to fraction form
    339,548.22/509,005.77 = 114,751.47/x
  3. Step 3: Cross multiply
    339,548.22x = 509,005.77 × 114,751.47
  4. Step 4: Simplify right side
    339,548.22x = 58,409,160,345.98
  5. Step 5: Solve for x
    x = 58,409,160,345.98/339,548.22
  6. Step 6: Final answer
    x = 172,020.22

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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.