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Finding the Fourth Proportional to 491,297.70, 678,004.07 and 276,445.38

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Solution

The fourth proportional to 491,297.70, 678,004.07 and 276,445.38 is: 381,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,297.70 : 678,004.07 = 276,445.38 : x
  2. Step 2: Convert to fraction form
    491,297.70/678,004.07 = 276,445.38/x
  3. Step 3: Cross multiply
    491,297.70x = 678,004.07 × 276,445.38
  4. Step 4: Simplify right side
    491,297.70x = 187,431,091,390.47
  5. Step 5: Solve for x
    x = 187,431,091,390.47/491,297.70
  6. Step 6: Final answer
    x = 381,502.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.