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Finding the Fourth Proportional to 491,106.53, 677,147.36 and 336,132.56

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Solution

The fourth proportional to 491,106.53, 677,147.36 and 336,132.56 is: 463,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,106.53 : 677,147.36 = 336,132.56 : x
  2. Step 2: Convert to fraction form
    491,106.53/677,147.36 = 336,132.56/x
  3. Step 3: Cross multiply
    491,106.53x = 677,147.36 × 336,132.56
  4. Step 4: Simplify right side
    491,106.53x = 227,611,271,817.29
  5. Step 5: Solve for x
    x = 227,611,271,817.29/491,106.53
  6. Step 6: Final answer
    x = 463,466.19

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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.