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Finding the Fourth Proportional to 442,896.10, 664,344.15 and 431,232.10

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Solution

The fourth proportional to 442,896.10, 664,344.15 and 431,232.10 is: 646,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.10 : 664,344.15 = 431,232.10 : x
  2. Step 2: Convert to fraction form
    442,896.10/664,344.15 = 431,232.10/x
  3. Step 3: Cross multiply
    442,896.10x = 664,344.15 × 431,232.10
  4. Step 4: Simplify right side
    442,896.10x = 286,486,522,927.22
  5. Step 5: Solve for x
    x = 286,486,522,927.22/442,896.10
  6. Step 6: Final answer
    x = 646,848.15

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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.