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Finding the Fourth Proportional to 385,216.80, 577,825.20 and 259,245.60

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Solution

The fourth proportional to 385,216.80, 577,825.20 and 259,245.60 is: 388,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,216.80 : 577,825.20 = 259,245.60 : x
  2. Step 2: Convert to fraction form
    385,216.80/577,825.20 = 259,245.60/x
  3. Step 3: Cross multiply
    385,216.80x = 577,825.20 × 259,245.60
  4. Step 4: Simplify right side
    385,216.80x = 149,798,640,669.12
  5. Step 5: Solve for x
    x = 149,798,640,669.12/385,216.80
  6. Step 6: Final answer
    x = 388,868.40

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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.