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Finding the Fourth Proportional to 378,045.30, 567,067.95 and 343,053.30

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Solution

The fourth proportional to 378,045.30, 567,067.95 and 343,053.30 is: 514,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.30 : 567,067.95 = 343,053.30 : x
  2. Step 2: Convert to fraction form
    378,045.30/567,067.95 = 343,053.30/x
  3. Step 3: Cross multiply
    378,045.30x = 567,067.95 × 343,053.30
  4. Step 4: Simplify right side
    378,045.30x = 194,534,531,571.74
  5. Step 5: Solve for x
    x = 194,534,531,571.74/378,045.30
  6. Step 6: Final answer
    x = 514,579.95

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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.