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Finding the Fourth Proportional to 339,632.65, 509,417.74 and 114,967.41

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Solution

The fourth proportional to 339,632.65, 509,417.74 and 114,967.41 is: 172,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,632.65 : 509,417.74 = 114,967.41 : x
  2. Step 2: Convert to fraction form
    339,632.65/509,417.74 = 114,967.41/x
  3. Step 3: Cross multiply
    339,632.65x = 509,417.74 × 114,967.41
  4. Step 4: Simplify right side
    339,632.65x = 58,566,436,409.25
  5. Step 5: Solve for x
    x = 58,566,436,409.25/339,632.65
  6. Step 6: Final answer
    x = 172,440.54

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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.