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Finding the Fourth Proportional to 493,776.24, 681,162.84 and 323,986.80

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Solution

The fourth proportional to 493,776.24, 681,162.84 and 323,986.80 is: 446,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,776.24 : 681,162.84 = 323,986.80 : x
  2. Step 2: Convert to fraction form
    493,776.24/681,162.84 = 323,986.80/x
  3. Step 3: Cross multiply
    493,776.24x = 681,162.84 × 323,986.80
  4. Step 4: Simplify right side
    493,776.24x = 220,687,768,810.51
  5. Step 5: Solve for x
    x = 220,687,768,810.51/493,776.24
  6. Step 6: Final answer
    x = 446,938.82

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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.