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Finding the Fourth Proportional to 339,585.48, 509,348.70 and 114,940.98

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Solution

The fourth proportional to 339,585.48, 509,348.70 and 114,940.98 is: 172,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,585.48 : 509,348.70 = 114,940.98 : x
  2. Step 2: Convert to fraction form
    339,585.48/509,348.70 = 114,940.98/x
  3. Step 3: Cross multiply
    339,585.48x = 509,348.70 × 114,940.98
  4. Step 4: Simplify right side
    339,585.48x = 58,545,038,739.73
  5. Step 5: Solve for x
    x = 58,545,038,739.73/339,585.48
  6. Step 6: Final answer
    x = 172,401.48

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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.