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Finding the Fourth Proportional to 456,950.14, 685,450.72 and 141,382.44

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Solution

The fourth proportional to 456,950.14, 685,450.72 and 141,382.44 is: 212,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,950.14 : 685,450.72 = 141,382.44 : x
  2. Step 2: Convert to fraction form
    456,950.14/685,450.72 = 141,382.44/x
  3. Step 3: Cross multiply
    456,950.14x = 685,450.72 × 141,382.44
  4. Step 4: Simplify right side
    456,950.14x = 96,910,695,293.36
  5. Step 5: Solve for x
    x = 96,910,695,293.36/456,950.14
  6. Step 6: Final answer
    x = 212,081.55

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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.