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Finding the Fourth Proportional to 446,057.89, 669,751.14 and 180,337.39

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Solution

The fourth proportional to 446,057.89, 669,751.14 and 180,337.39 is: 270,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,057.89 : 669,751.14 = 180,337.39 : x
  2. Step 2: Convert to fraction form
    446,057.89/669,751.14 = 180,337.39/x
  3. Step 3: Cross multiply
    446,057.89x = 669,751.14 × 180,337.39
  4. Step 4: Simplify right side
    446,057.89x = 120,781,172,537.13
  5. Step 5: Solve for x
    x = 120,781,172,537.13/446,057.89
  6. Step 6: Final answer
    x = 270,774.66

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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.