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Finding the Fourth Proportional to 339,545.22, 509,001.27 and 114,748.47

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Solution

The fourth proportional to 339,545.22, 509,001.27 and 114,748.47 is: 172,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,545.22 : 509,001.27 = 114,748.47 : x
  2. Step 2: Convert to fraction form
    339,545.22/509,001.27 = 114,748.47/x
  3. Step 3: Cross multiply
    339,545.22x = 509,001.27 × 114,748.47
  4. Step 4: Simplify right side
    339,545.22x = 58,407,116,960.56
  5. Step 5: Solve for x
    x = 58,407,116,960.56/339,545.22
  6. Step 6: Final answer
    x = 172,015.72

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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.