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Finding the Fourth Proportional to 446,031.91, 669,179.10 and 179,655.31

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Solution

The fourth proportional to 446,031.91, 669,179.10 and 179,655.31 is: 269,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,031.91 : 669,179.10 = 179,655.31 : x
  2. Step 2: Convert to fraction form
    446,031.91/669,179.10 = 179,655.31/x
  3. Step 3: Cross multiply
    446,031.91x = 669,179.10 × 179,655.31
  4. Step 4: Simplify right side
    446,031.91x = 120,221,575,310.13
  5. Step 5: Solve for x
    x = 120,221,575,310.13/446,031.91
  6. Step 6: Final answer
    x = 269,535.82

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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.