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Finding the Fourth Proportional to 445,082.02, 664,385.40 and 412,189.54

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Solution

The fourth proportional to 445,082.02, 664,385.40 and 412,189.54 is: 615,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,082.02 : 664,385.40 = 412,189.54 : x
  2. Step 2: Convert to fraction form
    445,082.02/664,385.40 = 412,189.54/x
  3. Step 3: Cross multiply
    445,082.02x = 664,385.40 × 412,189.54
  4. Step 4: Simplify right side
    445,082.02x = 273,852,712,408.72
  5. Step 5: Solve for x
    x = 273,852,712,408.72/445,082.02
  6. Step 6: Final answer
    x = 615,285.95

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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.