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Finding the Fourth Proportional to 598,375.14, 825,753.77 and 340,252.11

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Solution

The fourth proportional to 598,375.14, 825,753.77 and 340,252.11 is: 469,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,375.14 : 825,753.77 = 340,252.11 : x
  2. Step 2: Convert to fraction form
    598,375.14/825,753.77 = 340,252.11/x
  3. Step 3: Cross multiply
    598,375.14x = 825,753.77 × 340,252.11
  4. Step 4: Simplify right side
    598,375.14x = 280,964,460,200.84
  5. Step 5: Solve for x
    x = 280,964,460,200.84/598,375.14
  6. Step 6: Final answer
    x = 469,545.68

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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.