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Finding the Fourth Proportional to 365,734.12, 504,735.69 and 204,600.01

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Solution

The fourth proportional to 365,734.12, 504,735.69 and 204,600.01 is: 282,360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,734.12 : 504,735.69 = 204,600.01 : x
  2. Step 2: Convert to fraction form
    365,734.12/504,735.69 = 204,600.01/x
  3. Step 3: Cross multiply
    365,734.12x = 504,735.69 × 204,600.01
  4. Step 4: Simplify right side
    365,734.12x = 103,268,927,221.36
  5. Step 5: Solve for x
    x = 103,268,927,221.36/365,734.12
  6. Step 6: Final answer
    x = 282,360.66

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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.