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Finding the Fourth Proportional to 271,995.05, 405,258.80 and 256,715.82

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Solution

The fourth proportional to 271,995.05, 405,258.80 and 256,715.82 is: 382,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,995.05 : 405,258.80 = 256,715.82 : x
  2. Step 2: Convert to fraction form
    271,995.05/405,258.80 = 256,715.82/x
  3. Step 3: Cross multiply
    271,995.05x = 405,258.80 × 256,715.82
  4. Step 4: Simplify right side
    271,995.05x = 104,036,343,870.64
  5. Step 5: Solve for x
    x = 104,036,343,870.64/271,995.05
  6. Step 6: Final answer
    x = 382,493.53

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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.