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Finding the Fourth Proportional to 378,089.44, 521,786.72 and 208,323.52

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Solution

The fourth proportional to 378,089.44, 521,786.72 and 208,323.52 is: 287,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,089.44 : 521,786.72 = 208,323.52 : x
  2. Step 2: Convert to fraction form
    378,089.44/521,786.72 = 208,323.52/x
  3. Step 3: Cross multiply
    378,089.44x = 521,786.72 × 208,323.52
  4. Step 4: Simplify right side
    378,089.44x = 108,700,446,199.65
  5. Step 5: Solve for x
    x = 108,700,446,199.65/378,089.44
  6. Step 6: Final answer
    x = 287,499.29

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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.