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Finding the Fourth Proportional to 378,252.66, 567,069.82 and 175,974.86

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Solution

The fourth proportional to 378,252.66, 567,069.82 and 175,974.86 is: 263,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,252.66 : 567,069.82 = 175,974.86 : x
  2. Step 2: Convert to fraction form
    378,252.66/567,069.82 = 175,974.86/x
  3. Step 3: Cross multiply
    378,252.66x = 567,069.82 × 175,974.86
  4. Step 4: Simplify right side
    378,252.66x = 99,790,032,184.73
  5. Step 5: Solve for x
    x = 99,790,032,184.73/378,252.66
  6. Step 6: Final answer
    x = 263,818.45

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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.