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Finding the Fourth Proportional to 505,476.84, 758,200.62 and 205,883.30

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Solution

The fourth proportional to 505,476.84, 758,200.62 and 205,883.30 is: 308,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,476.84 : 758,200.62 = 205,883.30 : x
  2. Step 2: Convert to fraction form
    505,476.84/758,200.62 = 205,883.30/x
  3. Step 3: Cross multiply
    505,476.84x = 758,200.62 × 205,883.30
  4. Step 4: Simplify right side
    505,476.84x = 156,100,845,707.65
  5. Step 5: Solve for x
    x = 156,100,845,707.65/505,476.84
  6. Step 6: Final answer
    x = 308,818.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.