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Finding the Fourth Proportional to 385,086.30, 577,629.45 and 259,115.10

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Solution

The fourth proportional to 385,086.30, 577,629.45 and 259,115.10 is: 388,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,086.30 : 577,629.45 = 259,115.10 : x
  2. Step 2: Convert to fraction form
    385,086.30/577,629.45 = 259,115.10/x
  3. Step 3: Cross multiply
    385,086.30x = 577,629.45 × 259,115.10
  4. Step 4: Simplify right side
    385,086.30x = 149,672,512,699.70
  5. Step 5: Solve for x
    x = 149,672,512,699.70/385,086.30
  6. Step 6: Final answer
    x = 388,672.65

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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.