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Finding the Fourth Proportional to 365,263.89, 504,062.70 and 204,118.90

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Solution

The fourth proportional to 365,263.89, 504,062.70 and 204,118.90 is: 281,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,263.89 : 504,062.70 = 204,118.90 : x
  2. Step 2: Convert to fraction form
    365,263.89/504,062.70 = 204,118.90/x
  3. Step 3: Cross multiply
    365,263.89x = 504,062.70 × 204,118.90
  4. Step 4: Simplify right side
    365,263.89x = 102,888,721,829.43
  5. Step 5: Solve for x
    x = 102,888,721,829.43/365,263.89
  6. Step 6: Final answer
    x = 281,683.25

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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.