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Finding the Fourth Proportional to 365,987.21, 504,947.22 and 204,816.65

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Solution

The fourth proportional to 365,987.21, 504,947.22 and 204,816.65 is: 282,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,987.21 : 504,947.22 = 204,816.65 : x
  2. Step 2: Convert to fraction form
    365,987.21/504,947.22 = 204,816.65/x
  3. Step 3: Cross multiply
    365,987.21x = 504,947.22 × 204,816.65
  4. Step 4: Simplify right side
    365,987.21x = 103,421,598,027.21
  5. Step 5: Solve for x
    x = 103,421,598,027.21/365,987.21
  6. Step 6: Final answer
    x = 282,582.55

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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.