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Finding the Fourth Proportional to 365,744.46, 504,746.39 and 204,602.20

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Solution

The fourth proportional to 365,744.46, 504,746.39 and 204,602.20 is: 282,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,744.46 : 504,746.39 = 204,602.20 : x
  2. Step 2: Convert to fraction form
    365,744.46/504,746.39 = 204,602.20/x
  3. Step 3: Cross multiply
    365,744.46x = 504,746.39 × 204,602.20
  4. Step 4: Simplify right side
    365,744.46x = 103,272,222,774.01
  5. Step 5: Solve for x
    x = 103,272,222,774.01/365,744.46
  6. Step 6: Final answer
    x = 282,361.68

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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.