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Finding the Fourth Proportional to 378,013.79, 521,658.99 and 208,247.91

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Solution

The fourth proportional to 378,013.79, 521,658.99 and 208,247.91 is: 287,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,013.79 : 521,658.99 = 208,247.91 : x
  2. Step 2: Convert to fraction form
    378,013.79/521,658.99 = 208,247.91/x
  3. Step 3: Cross multiply
    378,013.79x = 521,658.99 × 208,247.91
  4. Step 4: Simplify right side
    378,013.79x = 108,634,394,400.21
  5. Step 5: Solve for x
    x = 108,634,394,400.21/378,013.79
  6. Step 6: Final answer
    x = 287,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.