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Finding the Fourth Proportional to 333,257.36, 459,893.21 and 180,295.11

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Solution

The fourth proportional to 333,257.36, 459,893.21 and 180,295.11 is: 248,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,257.36 : 459,893.21 = 180,295.11 : x
  2. Step 2: Convert to fraction form
    333,257.36/459,893.21 = 180,295.11/x
  3. Step 3: Cross multiply
    333,257.36x = 459,893.21 × 180,295.11
  4. Step 4: Simplify right side
    333,257.36x = 82,916,495,983.73
  5. Step 5: Solve for x
    x = 82,916,495,983.73/333,257.36
  6. Step 6: Final answer
    x = 248,806.20

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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.