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Finding the Fourth Proportional to 307,951.40, 461,927.10 and 256,111.40

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Solution

The fourth proportional to 307,951.40, 461,927.10 and 256,111.40 is: 384,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,951.40 : 461,927.10 = 256,111.40 : x
  2. Step 2: Convert to fraction form
    307,951.40/461,927.10 = 256,111.40/x
  3. Step 3: Cross multiply
    307,951.40x = 461,927.10 × 256,111.40
  4. Step 4: Simplify right side
    307,951.40x = 118,304,796,278.94
  5. Step 5: Solve for x
    x = 118,304,796,278.94/307,951.40
  6. Step 6: Final answer
    x = 384,167.10

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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.