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Finding the Fourth Proportional to 378,544.58, 566,090.25 and 282,549.86

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Solution

The fourth proportional to 378,544.58, 566,090.25 and 282,549.86 is: 422,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,544.58 : 566,090.25 = 282,549.86 : x
  2. Step 2: Convert to fraction form
    378,544.58/566,090.25 = 282,549.86/x
  3. Step 3: Cross multiply
    378,544.58x = 566,090.25 × 282,549.86
  4. Step 4: Simplify right side
    378,544.58x = 159,948,720,884.87
  5. Step 5: Solve for x
    x = 159,948,720,884.87/378,544.58
  6. Step 6: Final answer
    x = 422,536.02

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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.