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Finding the Fourth Proportional to 491,298.70, 678,005.45 and 276,446.38

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Solution

The fourth proportional to 491,298.70, 678,005.45 and 276,446.38 is: 381,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,298.70 : 678,005.45 = 276,446.38 : x
  2. Step 2: Convert to fraction form
    491,298.70/678,005.45 = 276,446.38/x
  3. Step 3: Cross multiply
    491,298.70x = 678,005.45 × 276,446.38
  4. Step 4: Simplify right side
    491,298.70x = 187,432,152,272.77
  5. Step 5: Solve for x
    x = 187,432,152,272.77/491,298.70
  6. Step 6: Final answer
    x = 381,503.46

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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.