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Finding the Fourth Proportional to 413,965.80, 620,429.28 and 177,029.86

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Solution

The fourth proportional to 413,965.80, 620,429.28 and 177,029.86 is: 265,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,965.80 : 620,429.28 = 177,029.86 : x
  2. Step 2: Convert to fraction form
    413,965.80/620,429.28 = 177,029.86/x
  3. Step 3: Cross multiply
    413,965.80x = 620,429.28 × 177,029.86
  4. Step 4: Simplify right side
    413,965.80x = 109,834,508,578.30
  5. Step 5: Solve for x
    x = 109,834,508,578.30/413,965.80
  6. Step 6: Final answer
    x = 265,322.66

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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.