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Finding the Fourth Proportional to 282,331.73, 423,123.77 and 207,099.68

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Solution

The fourth proportional to 282,331.73, 423,123.77 and 207,099.68 is: 310,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,331.73 : 423,123.77 = 207,099.68 : x
  2. Step 2: Convert to fraction form
    282,331.73/423,123.77 = 207,099.68/x
  3. Step 3: Cross multiply
    282,331.73x = 423,123.77 × 207,099.68
  4. Step 4: Simplify right side
    282,331.73x = 87,628,794,216.28
  5. Step 5: Solve for x
    x = 87,628,794,216.28/282,331.73
  6. Step 6: Final answer
    x = 310,375.30

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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.