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Finding the Fourth Proportional to 378,776.88, 567,624 and 278,147.64

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Solution

The fourth proportional to 378,776.88, 567,624 and 278,147.64 is: 416,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,776.88 : 567,624 = 278,147.64 : x
  2. Step 2: Convert to fraction form
    378,776.88/567,624 = 278,147.64/x
  3. Step 3: Cross multiply
    378,776.88x = 567,624 × 278,147.64
  4. Step 4: Simplify right side
    378,776.88x = 157,883,276,007.36
  5. Step 5: Solve for x
    x = 157,883,276,007.36/378,776.88
  6. Step 6: Final answer
    x = 416,823.95

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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.