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Finding the Fourth Proportional to 378,873.60, 568,617.60 and 366,585.60

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Solution

The fourth proportional to 378,873.60, 568,617.60 and 366,585.60 is: 550,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,873.60 : 568,617.60 = 366,585.60 : x
  2. Step 2: Convert to fraction form
    378,873.60/568,617.60 = 366,585.60/x
  3. Step 3: Cross multiply
    378,873.60x = 568,617.60 × 366,585.60
  4. Step 4: Simplify right side
    378,873.60x = 208,447,024,066.56
  5. Step 5: Solve for x
    x = 208,447,024,066.56/378,873.60
  6. Step 6: Final answer
    x = 550,175.64

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Why These Related Problems?

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