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Finding the Fourth Proportional to 378,056.13, 521,717.16 and 208,290.26

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Solution

The fourth proportional to 378,056.13, 521,717.16 and 208,290.26 is: 287,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,056.13 : 521,717.16 = 208,290.26 : x
  2. Step 2: Convert to fraction form
    378,056.13/521,717.16 = 208,290.26/x
  3. Step 3: Cross multiply
    378,056.13x = 521,717.16 × 208,290.26
  4. Step 4: Simplify right side
    378,056.13x = 108,668,600,294.28
  5. Step 5: Solve for x
    x = 108,668,600,294.28/378,056.13
  6. Step 6: Final answer
    x = 287,440.39

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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.