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Finding the Fourth Proportional to 447,029.66, 666,333.19 and 411,157.46

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Solution

The fourth proportional to 447,029.66, 666,333.19 and 411,157.46 is: 612,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,029.66 : 666,333.19 = 411,157.46 : x
  2. Step 2: Convert to fraction form
    447,029.66/666,333.19 = 411,157.46/x
  3. Step 3: Cross multiply
    447,029.66x = 666,333.19 × 411,157.46
  4. Step 4: Simplify right side
    447,029.66x = 273,967,861,914.10
  5. Step 5: Solve for x
    x = 273,967,861,914.10/447,029.66
  6. Step 6: Final answer
    x = 612,862.83

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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.