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Finding the Fourth Proportional to 456,951.64, 685,452.97 and 141,383.94

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Solution

The fourth proportional to 456,951.64, 685,452.97 and 141,383.94 is: 212,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,951.64 : 685,452.97 = 141,383.94 : x
  2. Step 2: Convert to fraction form
    456,951.64/685,452.97 = 141,383.94/x
  3. Step 3: Cross multiply
    456,951.64x = 685,452.97 × 141,383.94
  4. Step 4: Simplify right side
    456,951.64x = 96,912,041,583.30
  5. Step 5: Solve for x
    x = 96,912,041,583.30/456,951.64
  6. Step 6: Final answer
    x = 212,083.80

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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.