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Finding the Fourth Proportional to 491,323.56, 678,022.12 and 276,459.32

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Solution

The fourth proportional to 491,323.56, 678,022.12 and 276,459.32 is: 381,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,323.56 : 678,022.12 = 276,459.32 : x
  2. Step 2: Convert to fraction form
    491,323.56/678,022.12 = 276,459.32/x
  3. Step 3: Cross multiply
    491,323.56x = 678,022.12 × 276,459.32
  4. Step 4: Simplify right side
    491,323.56x = 187,445,534,240.16
  5. Step 5: Solve for x
    x = 187,445,534,240.16/491,323.56
  6. Step 6: Final answer
    x = 381,511.39

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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.