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Finding the Fourth Proportional to 415,718.20, 622,655.70 and 166,271.80

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Solution

The fourth proportional to 415,718.20, 622,655.70 and 166,271.80 is: 249,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,718.20 : 622,655.70 = 166,271.80 : x
  2. Step 2: Convert to fraction form
    415,718.20/622,655.70 = 166,271.80/x
  3. Step 3: Cross multiply
    415,718.20x = 622,655.70 × 166,271.80
  4. Step 4: Simplify right side
    415,718.20x = 103,530,084,019.26
  5. Step 5: Solve for x
    x = 103,530,084,019.26/415,718.20
  6. Step 6: Final answer
    x = 249,039.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.