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Finding the Fourth Proportional to 378,195.84, 521,910.27 and 208,430.01

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Solution

The fourth proportional to 378,195.84, 521,910.27 and 208,430.01 is: 287,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,195.84 : 521,910.27 = 208,430.01 : x
  2. Step 2: Convert to fraction form
    378,195.84/521,910.27 = 208,430.01/x
  3. Step 3: Cross multiply
    378,195.84x = 521,910.27 × 208,430.01
  4. Step 4: Simplify right side
    378,195.84x = 108,781,762,795.20
  5. Step 5: Solve for x
    x = 108,781,762,795.20/378,195.84
  6. Step 6: Final answer
    x = 287,633.42

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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.