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Finding the Fourth Proportional to 378,050.94, 567,723.57 and 252,498

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Solution

The fourth proportional to 378,050.94, 567,723.57 and 252,498 is: 379,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,050.94 : 567,723.57 = 252,498 : x
  2. Step 2: Convert to fraction form
    378,050.94/567,723.57 = 252,498/x
  3. Step 3: Cross multiply
    378,050.94x = 567,723.57 × 252,498
  4. Step 4: Simplify right side
    378,050.94x = 143,349,065,977.86
  5. Step 5: Solve for x
    x = 143,349,065,977.86/378,050.94
  6. Step 6: Final answer
    x = 379,179.23

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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.