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Finding the Fourth Proportional to 456,716.88, 685,140.90 and 141,198.42

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Solution

The fourth proportional to 456,716.88, 685,140.90 and 141,198.42 is: 211,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,716.88 : 685,140.90 = 141,198.42 : x
  2. Step 2: Convert to fraction form
    456,716.88/685,140.90 = 141,198.42/x
  3. Step 3: Cross multiply
    456,716.88x = 685,140.90 × 141,198.42
  4. Step 4: Simplify right side
    456,716.88x = 96,740,812,557.38
  5. Step 5: Solve for x
    x = 96,740,812,557.38/456,716.88
  6. Step 6: Final answer
    x = 211,817.90

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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.