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Finding the Fourth Proportional to 378,088.96, 566,967.84 and 200,555.68

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Solution

The fourth proportional to 378,088.96, 566,967.84 and 200,555.68 is: 300,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,088.96 : 566,967.84 = 200,555.68 : x
  2. Step 2: Convert to fraction form
    378,088.96/566,967.84 = 200,555.68/x
  3. Step 3: Cross multiply
    378,088.96x = 566,967.84 × 200,555.68
  4. Step 4: Simplify right side
    378,088.96x = 113,708,620,689.33
  5. Step 5: Solve for x
    x = 113,708,620,689.33/378,088.96
  6. Step 6: Final answer
    x = 300,745.68

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1.5x scale

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.