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Finding the Fourth Proportional to 378,053.40, 566,205.30 and 259,080.60

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Solution

The fourth proportional to 378,053.40, 566,205.30 and 259,080.60 is: 388,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,053.40 : 566,205.30 = 259,080.60 : x
  2. Step 2: Convert to fraction form
    378,053.40/566,205.30 = 259,080.60/x
  3. Step 3: Cross multiply
    378,053.40x = 566,205.30 × 259,080.60
  4. Step 4: Simplify right side
    378,053.40x = 146,692,808,847.18
  5. Step 5: Solve for x
    x = 146,692,808,847.18/378,053.40
  6. Step 6: Final answer
    x = 388,021.40

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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.