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Finding the Fourth Proportional to 580,098.34, 870,171.15 and 276,336.37

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Solution

The fourth proportional to 580,098.34, 870,171.15 and 276,336.37 is: 414,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,098.34 : 870,171.15 = 276,336.37 : x
  2. Step 2: Convert to fraction form
    580,098.34/870,171.15 = 276,336.37/x
  3. Step 3: Cross multiply
    580,098.34x = 870,171.15 × 276,336.37
  4. Step 4: Simplify right side
    580,098.34x = 240,459,936,869.73
  5. Step 5: Solve for x
    x = 240,459,936,869.73/580,098.34
  6. Step 6: Final answer
    x = 414,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.