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Finding the Fourth Proportional to 378,175.58, 521,875.33 and 206,094.92

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Solution

The fourth proportional to 378,175.58, 521,875.33 and 206,094.92 is: 284,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,175.58 : 521,875.33 = 206,094.92 : x
  2. Step 2: Convert to fraction form
    378,175.58/521,875.33 = 206,094.92/x
  3. Step 3: Cross multiply
    378,175.58x = 521,875.33 × 206,094.92
  4. Step 4: Simplify right side
    378,175.58x = 107,555,855,175.78
  5. Step 5: Solve for x
    x = 107,555,855,175.78/378,175.58
  6. Step 6: Final answer
    x = 284,407.20

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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.