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Finding the Fourth Proportional to 481,052.66, 663,414.10 and 413,048.30

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Solution

The fourth proportional to 481,052.66, 663,414.10 and 413,048.30 is: 569,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,052.66 : 663,414.10 = 413,048.30 : x
  2. Step 2: Convert to fraction form
    481,052.66/663,414.10 = 413,048.30/x
  3. Step 3: Cross multiply
    481,052.66x = 663,414.10 × 413,048.30
  4. Step 4: Simplify right side
    481,052.66x = 274,022,061,851.34
  5. Step 5: Solve for x
    x = 274,022,061,851.34/481,052.66
  6. Step 6: Final answer
    x = 569,630.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.