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Finding the Fourth Proportional to 446,715.85, 670,198.84 and 180,663.20

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Solution

The fourth proportional to 446,715.85, 670,198.84 and 180,663.20 is: 271,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,715.85 : 670,198.84 = 180,663.20 : x
  2. Step 2: Convert to fraction form
    446,715.85/670,198.84 = 180,663.20/x
  3. Step 3: Cross multiply
    446,715.85x = 670,198.84 × 180,663.20
  4. Step 4: Simplify right side
    446,715.85x = 121,080,267,070.69
  5. Step 5: Solve for x
    x = 121,080,267,070.69/446,715.85
  6. Step 6: Final answer
    x = 271,045.38

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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.