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Finding the Fourth Proportional to 415,716.20, 622,652.70 and 166,269.80

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Solution

The fourth proportional to 415,716.20, 622,652.70 and 166,269.80 is: 249,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,716.20 : 622,652.70 = 166,269.80 : x
  2. Step 2: Convert to fraction form
    415,716.20/622,652.70 = 166,269.80/x
  3. Step 3: Cross multiply
    415,716.20x = 622,652.70 × 166,269.80
  4. Step 4: Simplify right side
    415,716.20x = 103,528,339,898.46
  5. Step 5: Solve for x
    x = 103,528,339,898.46/415,716.20
  6. Step 6: Final answer
    x = 249,036.10

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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.