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Finding the Fourth Proportional to 550,082.80, 825,124.20 and 410,114.80

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Solution

The fourth proportional to 550,082.80, 825,124.20 and 410,114.80 is: 615,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,082.80 : 825,124.20 = 410,114.80 : x
  2. Step 2: Convert to fraction form
    550,082.80/825,124.20 = 410,114.80/x
  3. Step 3: Cross multiply
    550,082.80x = 825,124.20 × 410,114.80
  4. Step 4: Simplify right side
    550,082.80x = 338,395,646,258.16
  5. Step 5: Solve for x
    x = 338,395,646,258.16/550,082.80
  6. Step 6: Final answer
    x = 615,172.20

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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.