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Finding the Fourth Proportional to 378,429.66, 522,232.38 and 208,664.19

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Solution

The fourth proportional to 378,429.66, 522,232.38 and 208,664.19 is: 287,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,429.66 : 522,232.38 = 208,664.19 : x
  2. Step 2: Convert to fraction form
    378,429.66/522,232.38 = 208,664.19/x
  3. Step 3: Cross multiply
    378,429.66x = 522,232.38 × 208,664.19
  4. Step 4: Simplify right side
    378,429.66x = 108,971,196,564.47
  5. Step 5: Solve for x
    x = 108,971,196,564.47/378,429.66
  6. Step 6: Final answer
    x = 287,956.28

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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.