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Finding the Fourth Proportional to 365,756.22, 504,731.88 and 204,607.80

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Solution

The fourth proportional to 365,756.22, 504,731.88 and 204,607.80 is: 282,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,756.22 : 504,731.88 = 204,607.80 : x
  2. Step 2: Convert to fraction form
    365,756.22/504,731.88 = 204,607.80/x
  3. Step 3: Cross multiply
    365,756.22x = 504,731.88 × 204,607.80
  4. Step 4: Simplify right side
    365,756.22x = 103,272,079,556.66
  5. Step 5: Solve for x
    x = 103,272,079,556.66/365,756.22
  6. Step 6: Final answer
    x = 282,352.22

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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.