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Finding the Fourth Proportional to 456,865.86, 685,321.32 and 119,907.48

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Solution

The fourth proportional to 456,865.86, 685,321.32 and 119,907.48 is: 179,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,865.86 : 685,321.32 = 119,907.48 : x
  2. Step 2: Convert to fraction form
    456,865.86/685,321.32 = 119,907.48/x
  3. Step 3: Cross multiply
    456,865.86x = 685,321.32 × 119,907.48
  4. Step 4: Simplify right side
    456,865.86x = 82,175,152,471.47
  5. Step 5: Solve for x
    x = 82,175,152,471.47/456,865.86
  6. Step 6: Final answer
    x = 179,867.13

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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.