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Finding the Fourth Proportional to 365,968.80, 505,018.80 and 204,824.16

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Solution

The fourth proportional to 365,968.80, 505,018.80 and 204,824.16 is: 282,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,968.80 : 505,018.80 = 204,824.16 : x
  2. Step 2: Convert to fraction form
    365,968.80/505,018.80 = 204,824.16/x
  3. Step 3: Cross multiply
    365,968.80x = 505,018.80 × 204,824.16
  4. Step 4: Simplify right side
    365,968.80x = 103,440,051,494.21
  5. Step 5: Solve for x
    x = 103,440,051,494.21/365,968.80
  6. Step 6: Final answer
    x = 282,647.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.