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Finding the Fourth Proportional to 323,765.10, 446,774.94 and 180,516.60

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Solution

The fourth proportional to 323,765.10, 446,774.94 and 180,516.60 is: 249,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,765.10 : 446,774.94 = 180,516.60 : x
  2. Step 2: Convert to fraction form
    323,765.10/446,774.94 = 180,516.60/x
  3. Step 3: Cross multiply
    323,765.10x = 446,774.94 × 180,516.60
  4. Step 4: Simplify right side
    323,765.10x = 80,650,293,134.00
  5. Step 5: Solve for x
    x = 80,650,293,134.00/323,765.10
  6. Step 6: Final answer
    x = 249,101.26

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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.