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Finding the Fourth Proportional to 461,171.97, 687,173.24 and 410,865.50

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Solution

The fourth proportional to 461,171.97, 687,173.24 and 410,865.50 is: 612,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,171.97 : 687,173.24 = 410,865.50 : x
  2. Step 2: Convert to fraction form
    461,171.97/687,173.24 = 410,865.50/x
  3. Step 3: Cross multiply
    461,171.97x = 687,173.24 × 410,865.50
  4. Step 4: Simplify right side
    461,171.97x = 282,335,771,349.03
  5. Step 5: Solve for x
    x = 282,335,771,349.03/461,171.97
  6. Step 6: Final answer
    x = 612,213.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.