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Finding the Fourth Proportional to 550,082.30, 825,123.45 and 410,114.30

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Solution

The fourth proportional to 550,082.30, 825,123.45 and 410,114.30 is: 615,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,082.30 : 825,123.45 = 410,114.30 : x
  2. Step 2: Convert to fraction form
    550,082.30/825,123.45 = 410,114.30/x
  3. Step 3: Cross multiply
    550,082.30x = 825,123.45 × 410,114.30
  4. Step 4: Simplify right side
    550,082.30x = 338,394,926,110.34
  5. Step 5: Solve for x
    x = 338,394,926,110.34/550,082.30
  6. Step 6: Final answer
    x = 615,171.45

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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.