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Finding the Fourth Proportional to 378,131.68, 521,842.26 and 216,985.42

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Solution

The fourth proportional to 378,131.68, 521,842.26 and 216,985.42 is: 299,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,131.68 : 521,842.26 = 216,985.42 : x
  2. Step 2: Convert to fraction form
    378,131.68/521,842.26 = 216,985.42/x
  3. Step 3: Cross multiply
    378,131.68x = 521,842.26 × 216,985.42
  4. Step 4: Simplify right side
    378,131.68x = 113,232,161,959.85
  5. Step 5: Solve for x
    x = 113,232,161,959.85/378,131.68
  6. Step 6: Final answer
    x = 299,451.67

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