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Finding the Fourth Proportional to 491,295.70, 678,001.31 and 276,443.38

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Solution

The fourth proportional to 491,295.70, 678,001.31 and 276,443.38 is: 381,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,295.70 : 678,001.31 = 276,443.38 : x
  2. Step 2: Convert to fraction form
    491,295.70/678,001.31 = 276,443.38/x
  3. Step 3: Cross multiply
    491,295.70x = 678,001.31 × 276,443.38
  4. Step 4: Simplify right side
    491,295.70x = 187,428,973,780.83
  5. Step 5: Solve for x
    x = 187,428,973,780.83/491,295.70
  6. Step 6: Final answer
    x = 381,499.32

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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.